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Finding the Fourth Proportional to 398.14, 597.36 and 154.63

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Solution

The fourth proportional to 398.14, 597.36 and 154.63 is: 232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 597.36 = 154.63 : x
  2. Step 2: Convert to fraction form
    398.14/597.36 = 154.63/x
  3. Step 3: Cross multiply
    398.14x = 597.36 × 154.63
  4. Step 4: Simplify right side
    398.14x = 92,369.78
  5. Step 5: Solve for x
    x = 92,369.78/398.14
  6. Step 6: Final answer
    x = 232.00

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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.