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Finding the Fourth Proportional to 624.07, 861.35 and 414.26

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Solution

The fourth proportional to 624.07, 861.35 and 414.26 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.07 : 861.35 = 414.26 : x
  2. Step 2: Convert to fraction form
    624.07/861.35 = 414.26/x
  3. Step 3: Cross multiply
    624.07x = 861.35 × 414.26
  4. Step 4: Simplify right side
    624.07x = 356,822.85
  5. Step 5: Solve for x
    x = 356,822.85/624.07
  6. Step 6: Final answer
    x = 571.77

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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.