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Finding the Fourth Proportional to 623.96, 861.38 and 425.83

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Solution

The fourth proportional to 623.96, 861.38 and 425.83 is: 587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.96 : 861.38 = 425.83 : x
  2. Step 2: Convert to fraction form
    623.96/861.38 = 425.83/x
  3. Step 3: Cross multiply
    623.96x = 861.38 × 425.83
  4. Step 4: Simplify right side
    623.96x = 366,801.45
  5. Step 5: Solve for x
    x = 366,801.45/623.96
  6. Step 6: Final answer
    x = 587.86

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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.