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Finding the Fourth Proportional to 624.57, 862.19 and 403.63

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Solution

The fourth proportional to 624.57, 862.19 and 403.63 is: 557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.57 : 862.19 = 403.63 : x
  2. Step 2: Convert to fraction form
    624.57/862.19 = 403.63/x
  3. Step 3: Cross multiply
    624.57x = 862.19 × 403.63
  4. Step 4: Simplify right side
    624.57x = 348,005.57
  5. Step 5: Solve for x
    x = 348,005.57/624.57
  6. Step 6: Final answer
    x = 557.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.