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Finding the Fourth Proportional to 959.82, 1,439.49 and 310.74

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Solution

The fourth proportional to 959.82, 1,439.49 and 310.74 is: 466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.82 : 1,439.49 = 310.74 : x
  2. Step 2: Convert to fraction form
    959.82/1,439.49 = 310.74/x
  3. Step 3: Cross multiply
    959.82x = 1,439.49 × 310.74
  4. Step 4: Simplify right side
    959.82x = 447,307.12
  5. Step 5: Solve for x
    x = 447,307.12/959.82
  6. Step 6: Final answer
    x = 466.03

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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.