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Finding the Fourth Proportional to 524.17, 722.79 and 337.53

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Solution

The fourth proportional to 524.17, 722.79 and 337.53 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.17 : 722.79 = 337.53 : x
  2. Step 2: Convert to fraction form
    524.17/722.79 = 337.53/x
  3. Step 3: Cross multiply
    524.17x = 722.79 × 337.53
  4. Step 4: Simplify right side
    524.17x = 243,963.31
  5. Step 5: Solve for x
    x = 243,963.31/524.17
  6. Step 6: Final answer
    x = 465.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.