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Finding the Fourth Proportional to 512.48, 707.23 and 291.46

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Solution

The fourth proportional to 512.48, 707.23 and 291.46 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 707.23 = 291.46 : x
  2. Step 2: Convert to fraction form
    512.48/707.23 = 291.46/x
  3. Step 3: Cross multiply
    512.48x = 707.23 × 291.46
  4. Step 4: Simplify right side
    512.48x = 206,129.26
  5. Step 5: Solve for x
    x = 206,129.26/512.48
  6. Step 6: Final answer
    x = 402.22

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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.