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Finding the Fourth Proportional to 525.44, 724.86 and 414.74

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Solution

The fourth proportional to 525.44, 724.86 and 414.74 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 724.86 = 414.74 : x
  2. Step 2: Convert to fraction form
    525.44/724.86 = 414.74/x
  3. Step 3: Cross multiply
    525.44x = 724.86 × 414.74
  4. Step 4: Simplify right side
    525.44x = 300,624.81
  5. Step 5: Solve for x
    x = 300,624.81/525.44
  6. Step 6: Final answer
    x = 572.14

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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.