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Finding the Fourth Proportional to 398.88, 549.96 and 274.62

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Solution

The fourth proportional to 398.88, 549.96 and 274.62 is: 378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 549.96 = 274.62 : x
  2. Step 2: Convert to fraction form
    398.88/549.96 = 274.62/x
  3. Step 3: Cross multiply
    398.88x = 549.96 × 274.62
  4. Step 4: Simplify right side
    398.88x = 151,030.02
  5. Step 5: Solve for x
    x = 151,030.02/398.88
  6. Step 6: Final answer
    x = 378.64

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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.