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Finding the Fourth Proportional to 512.32, 706.91 and 291.19

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Solution

The fourth proportional to 512.32, 706.91 and 291.19 is: 401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 706.91 = 291.19 : x
  2. Step 2: Convert to fraction form
    512.32/706.91 = 291.19/x
  3. Step 3: Cross multiply
    512.32x = 706.91 × 291.19
  4. Step 4: Simplify right side
    512.32x = 205,845.12
  5. Step 5: Solve for x
    x = 205,845.12/512.32
  6. Step 6: Final answer
    x = 401.79

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.