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Finding the Fourth Proportional to 638.08, 958.08 and 494.08

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Solution

The fourth proportional to 638.08, 958.08 and 494.08 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 958.08 = 494.08 : x
  2. Step 2: Convert to fraction form
    638.08/958.08 = 494.08/x
  3. Step 3: Cross multiply
    638.08x = 958.08 × 494.08
  4. Step 4: Simplify right side
    638.08x = 473,368.17
  5. Step 5: Solve for x
    x = 473,368.17/638.08
  6. Step 6: Final answer
    x = 741.86

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Why These Related Problems?

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