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Finding the Fourth Proportional to 959.71, 1,439.79 and 310.45

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Solution

The fourth proportional to 959.71, 1,439.79 and 310.45 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.71 : 1,439.79 = 310.45 : x
  2. Step 2: Convert to fraction form
    959.71/1,439.79 = 310.45/x
  3. Step 3: Cross multiply
    959.71x = 1,439.79 × 310.45
  4. Step 4: Simplify right side
    959.71x = 446,982.81
  5. Step 5: Solve for x
    x = 446,982.81/959.71
  6. Step 6: Final answer
    x = 465.75

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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.