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Finding the Fourth Proportional to 398.30, 549.48 and 250.64

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Solution

The fourth proportional to 398.30, 549.48 and 250.64 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.30 : 549.48 = 250.64 : x
  2. Step 2: Convert to fraction form
    398.30/549.48 = 250.64/x
  3. Step 3: Cross multiply
    398.30x = 549.48 × 250.64
  4. Step 4: Simplify right side
    398.30x = 137,721.67
  5. Step 5: Solve for x
    x = 137,721.67/398.30
  6. Step 6: Final answer
    x = 345.77

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