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Finding the Fourth Proportional to 624.65, 862.09 and 458.93

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Solution

The fourth proportional to 624.65, 862.09 and 458.93 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.65 : 862.09 = 458.93 : x
  2. Step 2: Convert to fraction form
    624.65/862.09 = 458.93/x
  3. Step 3: Cross multiply
    624.65x = 862.09 × 458.93
  4. Step 4: Simplify right side
    624.65x = 395,639.97
  5. Step 5: Solve for x
    x = 395,639.97/624.65
  6. Step 6: Final answer
    x = 633.38

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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.