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Finding the Fourth Proportional to 959.99, 1,440.25 and 343.71

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Solution

The fourth proportional to 959.99, 1,440.25 and 343.71 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.99 : 1,440.25 = 343.71 : x
  2. Step 2: Convert to fraction form
    959.99/1,440.25 = 343.71/x
  3. Step 3: Cross multiply
    959.99x = 1,440.25 × 343.71
  4. Step 4: Simplify right side
    959.99x = 495,027.47
  5. Step 5: Solve for x
    x = 495,027.47/959.99
  6. Step 6: Final answer
    x = 515.66

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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.