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Finding the Fourth Proportional to 512.14, 706.80 and 291.10

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Solution

The fourth proportional to 512.14, 706.80 and 291.10 is: 401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 706.80 = 291.10 : x
  2. Step 2: Convert to fraction form
    512.14/706.80 = 291.10/x
  3. Step 3: Cross multiply
    512.14x = 706.80 × 291.10
  4. Step 4: Simplify right side
    512.14x = 205,749.48
  5. Step 5: Solve for x
    x = 205,749.48/512.14
  6. Step 6: Final answer
    x = 401.74

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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.