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Finding the Fourth Proportional to 623.63, 861.06 and 414.25

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Solution

The fourth proportional to 623.63, 861.06 and 414.25 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.63 : 861.06 = 414.25 : x
  2. Step 2: Convert to fraction form
    623.63/861.06 = 414.25/x
  3. Step 3: Cross multiply
    623.63x = 861.06 × 414.25
  4. Step 4: Simplify right side
    623.63x = 356,691.18
  5. Step 5: Solve for x
    x = 356,691.18/623.63
  6. Step 6: Final answer
    x = 571.96

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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.