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Finding the Fourth Proportional to 398.80, 598.30 and 124.90

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Solution

The fourth proportional to 398.80, 598.30 and 124.90 is: 187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 598.30 = 124.90 : x
  2. Step 2: Convert to fraction form
    398.80/598.30 = 124.90/x
  3. Step 3: Cross multiply
    398.80x = 598.30 × 124.90
  4. Step 4: Simplify right side
    398.80x = 74,727.67
  5. Step 5: Solve for x
    x = 74,727.67/398.80
  6. Step 6: Final answer
    x = 187.38

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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.