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Finding the Fourth Proportional to 959.97, 1,440.16 and 310.66

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Solution

The fourth proportional to 959.97, 1,440.16 and 310.66 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.97 : 1,440.16 = 310.66 : x
  2. Step 2: Convert to fraction form
    959.97/1,440.16 = 310.66/x
  3. Step 3: Cross multiply
    959.97x = 1,440.16 × 310.66
  4. Step 4: Simplify right side
    959.97x = 447,400.11
  5. Step 5: Solve for x
    x = 447,400.11/959.97
  6. Step 6: Final answer
    x = 466.06

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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.