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Finding the Fourth Proportional to 459.73, 689.72 and 267.19

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Solution

The fourth proportional to 459.73, 689.72 and 267.19 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.72 = 267.19 : x
  2. Step 2: Convert to fraction form
    459.73/689.72 = 267.19/x
  3. Step 3: Cross multiply
    459.73x = 689.72 × 267.19
  4. Step 4: Simplify right side
    459.73x = 184,283.23
  5. Step 5: Solve for x
    x = 184,283.23/459.73
  6. Step 6: Final answer
    x = 400.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.