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Finding the Fourth Proportional to 360.48, 497.76 and 267.12

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Solution

The fourth proportional to 360.48, 497.76 and 267.12 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 497.76 = 267.12 : x
  2. Step 2: Convert to fraction form
    360.48/497.76 = 267.12/x
  3. Step 3: Cross multiply
    360.48x = 497.76 × 267.12
  4. Step 4: Simplify right side
    360.48x = 132,961.65
  5. Step 5: Solve for x
    x = 132,961.65/360.48
  6. Step 6: Final answer
    x = 368.85

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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.