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Finding the Fourth Proportional to 314.30, 469.11 and 267.72

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Solution

The fourth proportional to 314.30, 469.11 and 267.72 is: 399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 469.11 = 267.72 : x
  2. Step 2: Convert to fraction form
    314.30/469.11 = 267.72/x
  3. Step 3: Cross multiply
    314.30x = 469.11 × 267.72
  4. Step 4: Simplify right side
    314.30x = 125,590.13
  5. Step 5: Solve for x
    x = 125,590.13/314.30
  6. Step 6: Final answer
    x = 399.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.