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Finding the Fourth Proportional to 624.51, 861.84 and 414.32

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Solution

The fourth proportional to 624.51, 861.84 and 414.32 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.51 : 861.84 = 414.32 : x
  2. Step 2: Convert to fraction form
    624.51/861.84 = 414.32/x
  3. Step 3: Cross multiply
    624.51x = 861.84 × 414.32
  4. Step 4: Simplify right side
    624.51x = 357,073.24
  5. Step 5: Solve for x
    x = 357,073.24/624.51
  6. Step 6: Final answer
    x = 571.77

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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.