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Finding the Fourth Proportional to 525, 724.50 and 292.13

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Solution

The fourth proportional to 525, 724.50 and 292.13 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 724.50 = 292.13 : x
  2. Step 2: Convert to fraction form
    525/724.50 = 292.13/x
  3. Step 3: Cross multiply
    525x = 724.50 × 292.13
  4. Step 4: Simplify right side
    525x = 211,644.56
  5. Step 5: Solve for x
    x = 211,644.56/525
  6. Step 6: Final answer
    x = 403.13

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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.