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Finding the Fourth Proportional to 525.16, 724.46 and 407.91

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Solution

The fourth proportional to 525.16, 724.46 and 407.91 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 724.46 = 407.91 : x
  2. Step 2: Convert to fraction form
    525.16/724.46 = 407.91/x
  3. Step 3: Cross multiply
    525.16x = 724.46 × 407.91
  4. Step 4: Simplify right side
    525.16x = 295,514.48
  5. Step 5: Solve for x
    x = 295,514.48/525.16
  6. Step 6: Final answer
    x = 562.72

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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.