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Finding the Fourth Proportional to 512.65, 707.48 and 291.57

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Solution

The fourth proportional to 512.65, 707.48 and 291.57 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 707.48 = 291.57 : x
  2. Step 2: Convert to fraction form
    512.65/707.48 = 291.57/x
  3. Step 3: Cross multiply
    512.65x = 707.48 × 291.57
  4. Step 4: Simplify right side
    512.65x = 206,279.94
  5. Step 5: Solve for x
    x = 206,279.94/512.65
  6. Step 6: Final answer
    x = 402.38

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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.