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Finding the Fourth Proportional to 460.38, 689.52 and 277.42

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Solution

The fourth proportional to 460.38, 689.52 and 277.42 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 689.52 = 277.42 : x
  2. Step 2: Convert to fraction form
    460.38/689.52 = 277.42/x
  3. Step 3: Cross multiply
    460.38x = 689.52 × 277.42
  4. Step 4: Simplify right side
    460.38x = 191,286.64
  5. Step 5: Solve for x
    x = 191,286.64/460.38
  6. Step 6: Final answer
    x = 415.50

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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.