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Finding the Fourth Proportional to 459.79, 689.81 and 267.25

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Solution

The fourth proportional to 459.79, 689.81 and 267.25 is: 400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.79 : 689.81 = 267.25 : x
  2. Step 2: Convert to fraction form
    459.79/689.81 = 267.25/x
  3. Step 3: Cross multiply
    459.79x = 689.81 × 267.25
  4. Step 4: Simplify right side
    459.79x = 184,351.72
  5. Step 5: Solve for x
    x = 184,351.72/459.79
  6. Step 6: Final answer
    x = 400.95

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Why These Related Problems?

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