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Finding the Fourth Proportional to 459.66, 689.62 and 267.28

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Solution

The fourth proportional to 459.66, 689.62 and 267.28 is: 401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 689.62 = 267.28 : x
  2. Step 2: Convert to fraction form
    459.66/689.62 = 267.28/x
  3. Step 3: Cross multiply
    459.66x = 689.62 × 267.28
  4. Step 4: Simplify right side
    459.66x = 184,321.63
  5. Step 5: Solve for x
    x = 184,321.63/459.66
  6. Step 6: Final answer
    x = 401.00

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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.