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Finding the Fourth Proportional to 638.96, 880.67 and 586.71

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Solution

The fourth proportional to 638.96, 880.67 and 586.71 is: 808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.96 : 880.67 = 586.71 : x
  2. Step 2: Convert to fraction form
    638.96/880.67 = 586.71/x
  3. Step 3: Cross multiply
    638.96x = 880.67 × 586.71
  4. Step 4: Simplify right side
    638.96x = 516,699.36
  5. Step 5: Solve for x
    x = 516,699.36/638.96
  6. Step 6: Final answer
    x = 808.66

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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.