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Finding the Fourth Proportional to 525.17, 724.67 and 315.35

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Solution

The fourth proportional to 525.17, 724.67 and 315.35 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.17 : 724.67 = 315.35 : x
  2. Step 2: Convert to fraction form
    525.17/724.67 = 315.35/x
  3. Step 3: Cross multiply
    525.17x = 724.67 × 315.35
  4. Step 4: Simplify right side
    525.17x = 228,519.48
  5. Step 5: Solve for x
    x = 228,519.48/525.17
  6. Step 6: Final answer
    x = 435.14

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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.