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Finding the Fourth Proportional to 566.24, 849.35 and 292.19

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Solution

The fourth proportional to 566.24, 849.35 and 292.19 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 849.35 = 292.19 : x
  2. Step 2: Convert to fraction form
    566.24/849.35 = 292.19/x
  3. Step 3: Cross multiply
    566.24x = 849.35 × 292.19
  4. Step 4: Simplify right side
    566.24x = 248,168.06
  5. Step 5: Solve for x
    x = 248,168.06/566.24
  6. Step 6: Final answer
    x = 438.28

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.