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Finding the Fourth Proportional to 522.29, 720.41 and 487.13

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Solution

The fourth proportional to 522.29, 720.41 and 487.13 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.29 : 720.41 = 487.13 : x
  2. Step 2: Convert to fraction form
    522.29/720.41 = 487.13/x
  3. Step 3: Cross multiply
    522.29x = 720.41 × 487.13
  4. Step 4: Simplify right side
    522.29x = 350,927.29
  5. Step 5: Solve for x
    x = 350,927.29/522.29
  6. Step 6: Final answer
    x = 671.91

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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.