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Finding the Fourth Proportional to 624.72, 862.46 and 376.10

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Solution

The fourth proportional to 624.72, 862.46 and 376.10 is: 519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.72 : 862.46 = 376.10 : x
  2. Step 2: Convert to fraction form
    624.72/862.46 = 376.10/x
  3. Step 3: Cross multiply
    624.72x = 862.46 × 376.10
  4. Step 4: Simplify right side
    624.72x = 324,368.58
  5. Step 5: Solve for x
    x = 324,368.58/624.72
  6. Step 6: Final answer
    x = 519.22

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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.