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Finding the Fourth Proportional to 638.60, 881.74 and 592

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Solution

The fourth proportional to 638.60, 881.74 and 592 is: 817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.60 : 881.74 = 592 : x
  2. Step 2: Convert to fraction form
    638.60/881.74 = 592/x
  3. Step 3: Cross multiply
    638.60x = 881.74 × 592
  4. Step 4: Simplify right side
    638.60x = 521,990.08
  5. Step 5: Solve for x
    x = 521,990.08/638.60
  6. Step 6: Final answer
    x = 817.40

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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.