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Finding the Fourth Proportional to 624.82, 862.38 and 415.01

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Solution

The fourth proportional to 624.82, 862.38 and 415.01 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.82 : 862.38 = 415.01 : x
  2. Step 2: Convert to fraction form
    624.82/862.38 = 415.01/x
  3. Step 3: Cross multiply
    624.82x = 862.38 × 415.01
  4. Step 4: Simplify right side
    624.82x = 357,896.32
  5. Step 5: Solve for x
    x = 357,896.32/624.82
  6. Step 6: Final answer
    x = 572.80

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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.