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Finding the Fourth Proportional to 624.94, 862.02 and 415.18

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Solution

The fourth proportional to 624.94, 862.02 and 415.18 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.94 : 862.02 = 415.18 : x
  2. Step 2: Convert to fraction form
    624.94/862.02 = 415.18/x
  3. Step 3: Cross multiply
    624.94x = 862.02 × 415.18
  4. Step 4: Simplify right side
    624.94x = 357,893.46
  5. Step 5: Solve for x
    x = 357,893.46/624.94
  6. Step 6: Final answer
    x = 572.68

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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.