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Finding the Fourth Proportional to 516.60, 712.40 and 457.61

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Solution

The fourth proportional to 516.60, 712.40 and 457.61 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 712.40 = 457.61 : x
  2. Step 2: Convert to fraction form
    516.60/712.40 = 457.61/x
  3. Step 3: Cross multiply
    516.60x = 712.40 × 457.61
  4. Step 4: Simplify right side
    516.60x = 325,995.51
  5. Step 5: Solve for x
    x = 325,995.51/516.60
  6. Step 6: Final answer
    x = 631.04

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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.