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Finding the Fourth Proportional to 959.42, 1,439.18 and 310.21

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Solution

The fourth proportional to 959.42, 1,439.18 and 310.21 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.42 : 1,439.18 = 310.21 : x
  2. Step 2: Convert to fraction form
    959.42/1,439.18 = 310.21/x
  3. Step 3: Cross multiply
    959.42x = 1,439.18 × 310.21
  4. Step 4: Simplify right side
    959.42x = 446,448.03
  5. Step 5: Solve for x
    x = 446,448.03/959.42
  6. Step 6: Final answer
    x = 465.33

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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.