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Finding the Fourth Proportional to 512.66, 707.49 and 291.64

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Solution

The fourth proportional to 512.66, 707.49 and 291.64 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 707.49 = 291.64 : x
  2. Step 2: Convert to fraction form
    512.66/707.49 = 291.64/x
  3. Step 3: Cross multiply
    512.66x = 707.49 × 291.64
  4. Step 4: Simplify right side
    512.66x = 206,332.38
  5. Step 5: Solve for x
    x = 206,332.38/512.66
  6. Step 6: Final answer
    x = 402.47

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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.