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Finding the Fourth Proportional to 525.65, 725.42 and 460.04

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Solution

The fourth proportional to 525.65, 725.42 and 460.04 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.65 : 725.42 = 460.04 : x
  2. Step 2: Convert to fraction form
    525.65/725.42 = 460.04/x
  3. Step 3: Cross multiply
    525.65x = 725.42 × 460.04
  4. Step 4: Simplify right side
    525.65x = 333,719.74
  5. Step 5: Solve for x
    x = 333,719.74/525.65
  6. Step 6: Final answer
    x = 634.88

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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.