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Finding the Fourth Proportional to 525.15, 724.46 and 315.27

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Solution

The fourth proportional to 525.15, 724.46 and 315.27 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.15 : 724.46 = 315.27 : x
  2. Step 2: Convert to fraction form
    525.15/724.46 = 315.27/x
  3. Step 3: Cross multiply
    525.15x = 724.46 × 315.27
  4. Step 4: Simplify right side
    525.15x = 228,398.93
  5. Step 5: Solve for x
    x = 228,398.93/525.15
  6. Step 6: Final answer
    x = 434.92

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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.