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Finding the Fourth Proportional to 398.06, 596.90 and 124.04

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Solution

The fourth proportional to 398.06, 596.90 and 124.04 is: 186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 596.90 = 124.04 : x
  2. Step 2: Convert to fraction form
    398.06/596.90 = 124.04/x
  3. Step 3: Cross multiply
    398.06x = 596.90 × 124.04
  4. Step 4: Simplify right side
    398.06x = 74,039.48
  5. Step 5: Solve for x
    x = 74,039.48/398.06
  6. Step 6: Final answer
    x = 186.00

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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.