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Finding the Fourth Proportional to 624.10, 862.10 and 484.38

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Solution

The fourth proportional to 624.10, 862.10 and 484.38 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 862.10 = 484.38 : x
  2. Step 2: Convert to fraction form
    624.10/862.10 = 484.38/x
  3. Step 3: Cross multiply
    624.10x = 862.10 × 484.38
  4. Step 4: Simplify right side
    624.10x = 417,579.69
  5. Step 5: Solve for x
    x = 417,579.69/624.10
  6. Step 6: Final answer
    x = 669.09

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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.