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Finding the Fourth Proportional to 524.59, 724.40 and 385.50

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Solution

The fourth proportional to 524.59, 724.40 and 385.50 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.59 : 724.40 = 385.50 : x
  2. Step 2: Convert to fraction form
    524.59/724.40 = 385.50/x
  3. Step 3: Cross multiply
    524.59x = 724.40 × 385.50
  4. Step 4: Simplify right side
    524.59x = 279,256.20
  5. Step 5: Solve for x
    x = 279,256.20/524.59
  6. Step 6: Final answer
    x = 532.33

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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.