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Finding the Fourth Proportional to 414.47, 571.98 and 267.16

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Solution

The fourth proportional to 414.47, 571.98 and 267.16 is: 368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.47 : 571.98 = 267.16 : x
  2. Step 2: Convert to fraction form
    414.47/571.98 = 267.16/x
  3. Step 3: Cross multiply
    414.47x = 571.98 × 267.16
  4. Step 4: Simplify right side
    414.47x = 152,808.75
  5. Step 5: Solve for x
    x = 152,808.75/414.47
  6. Step 6: Final answer
    x = 368.68

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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.