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Finding the Fourth Proportional to 638.80, 960.23 and 590.20

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Solution

The fourth proportional to 638.80, 960.23 and 590.20 is: 887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.80 : 960.23 = 590.20 : x
  2. Step 2: Convert to fraction form
    638.80/960.23 = 590.20/x
  3. Step 3: Cross multiply
    638.80x = 960.23 × 590.20
  4. Step 4: Simplify right side
    638.80x = 566,727.75
  5. Step 5: Solve for x
    x = 566,727.75/638.80
  6. Step 6: Final answer
    x = 887.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.