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Finding the Fourth Proportional to 531.84, 729.15 and 522.12

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Solution

The fourth proportional to 531.84, 729.15 and 522.12 is: 715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 729.15 = 522.12 : x
  2. Step 2: Convert to fraction form
    531.84/729.15 = 522.12/x
  3. Step 3: Cross multiply
    531.84x = 729.15 × 522.12
  4. Step 4: Simplify right side
    531.84x = 380,703.80
  5. Step 5: Solve for x
    x = 380,703.80/531.84
  6. Step 6: Final answer
    x = 715.82

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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.