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Finding the Fourth Proportional to 459.68, 689.80 and 267.28

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Solution

The fourth proportional to 459.68, 689.80 and 267.28 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 689.80 = 267.28 : x
  2. Step 2: Convert to fraction form
    459.68/689.80 = 267.28/x
  3. Step 3: Cross multiply
    459.68x = 689.80 × 267.28
  4. Step 4: Simplify right side
    459.68x = 184,369.74
  5. Step 5: Solve for x
    x = 184,369.74/459.68
  6. Step 6: Final answer
    x = 401.08

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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.