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Finding the Fourth Proportional to 398.42, 597.58 and 154.74

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Solution

The fourth proportional to 398.42, 597.58 and 154.74 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.42 : 597.58 = 154.74 : x
  2. Step 2: Convert to fraction form
    398.42/597.58 = 154.74/x
  3. Step 3: Cross multiply
    398.42x = 597.58 × 154.74
  4. Step 4: Simplify right side
    398.42x = 92,471.38
  5. Step 5: Solve for x
    x = 92,471.38/398.42
  6. Step 6: Final answer
    x = 232.10

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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.