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Finding the Fourth Proportional to 531, 726.27 and 522.49

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Solution

The fourth proportional to 531, 726.27 and 522.49 is: 714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531 : 726.27 = 522.49 : x
  2. Step 2: Convert to fraction form
    531/726.27 = 522.49/x
  3. Step 3: Cross multiply
    531x = 726.27 × 522.49
  4. Step 4: Simplify right side
    531x = 379,468.81
  5. Step 5: Solve for x
    x = 379,468.81/531
  6. Step 6: Final answer
    x = 714.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.