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Finding the Fourth Proportional to 460.32, 690.78 and 423.24

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Solution

The fourth proportional to 460.32, 690.78 and 423.24 is: 635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 690.78 = 423.24 : x
  2. Step 2: Convert to fraction form
    460.32/690.78 = 423.24/x
  3. Step 3: Cross multiply
    460.32x = 690.78 × 423.24
  4. Step 4: Simplify right side
    460.32x = 292,365.73
  5. Step 5: Solve for x
    x = 292,365.73/460.32
  6. Step 6: Final answer
    x = 635.14

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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.