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Finding the Fourth Proportional to 398.32, 549.64 and 251.12

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Solution

The fourth proportional to 398.32, 549.64 and 251.12 is: 346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 549.64 = 251.12 : x
  2. Step 2: Convert to fraction form
    398.32/549.64 = 251.12/x
  3. Step 3: Cross multiply
    398.32x = 549.64 × 251.12
  4. Step 4: Simplify right side
    398.32x = 138,025.60
  5. Step 5: Solve for x
    x = 138,025.60/398.32
  6. Step 6: Final answer
    x = 346.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.