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Finding the Fourth Proportional to 414.64, 572.10 and 267.09

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Solution

The fourth proportional to 414.64, 572.10 and 267.09 is: 368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 572.10 = 267.09 : x
  2. Step 2: Convert to fraction form
    414.64/572.10 = 267.09/x
  3. Step 3: Cross multiply
    414.64x = 572.10 × 267.09
  4. Step 4: Simplify right side
    414.64x = 152,803.33
  5. Step 5: Solve for x
    x = 152,803.33/414.64
  6. Step 6: Final answer
    x = 368.52

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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.