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Finding the Fourth Proportional to 959.47, 1,439.20 and 310.25

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Solution

The fourth proportional to 959.47, 1,439.20 and 310.25 is: 465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.47 : 1,439.20 = 310.25 : x
  2. Step 2: Convert to fraction form
    959.47/1,439.20 = 310.25/x
  3. Step 3: Cross multiply
    959.47x = 1,439.20 × 310.25
  4. Step 4: Simplify right side
    959.47x = 446,515.79
  5. Step 5: Solve for x
    x = 446,515.79/959.47
  6. Step 6: Final answer
    x = 465.38

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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.