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Finding the Fourth Proportional to 460.39, 690.27 and 240.88

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Solution

The fourth proportional to 460.39, 690.27 and 240.88 is: 361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.39 : 690.27 = 240.88 : x
  2. Step 2: Convert to fraction form
    460.39/690.27 = 240.88/x
  3. Step 3: Cross multiply
    460.39x = 690.27 × 240.88
  4. Step 4: Simplify right side
    460.39x = 166,272.24
  5. Step 5: Solve for x
    x = 166,272.24/460.39
  6. Step 6: Final answer
    x = 361.16

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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.