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Finding the Fourth Proportional to 398.46, 597.06 and 254.10

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Solution

The fourth proportional to 398.46, 597.06 and 254.10 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.46 : 597.06 = 254.10 : x
  2. Step 2: Convert to fraction form
    398.46/597.06 = 254.10/x
  3. Step 3: Cross multiply
    398.46x = 597.06 × 254.10
  4. Step 4: Simplify right side
    398.46x = 151,712.95
  5. Step 5: Solve for x
    x = 151,712.95/398.46
  6. Step 6: Final answer
    x = 380.75

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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.