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Finding the Fourth Proportional to 460, 690.32 and 308.32

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Solution

The fourth proportional to 460, 690.32 and 308.32 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 690.32 = 308.32 : x
  2. Step 2: Convert to fraction form
    460/690.32 = 308.32/x
  3. Step 3: Cross multiply
    460x = 690.32 × 308.32
  4. Step 4: Simplify right side
    460x = 212,839.46
  5. Step 5: Solve for x
    x = 212,839.46/460
  6. Step 6: Final answer
    x = 462.69

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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.