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Finding the Fourth Proportional to 398.63, 597.87 and 106.13

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Solution

The fourth proportional to 398.63, 597.87 and 106.13 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 597.87 = 106.13 : x
  2. Step 2: Convert to fraction form
    398.63/597.87 = 106.13/x
  3. Step 3: Cross multiply
    398.63x = 597.87 × 106.13
  4. Step 4: Simplify right side
    398.63x = 63,451.94
  5. Step 5: Solve for x
    x = 63,451.94/398.63
  6. Step 6: Final answer
    x = 159.18

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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.