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Finding the Fourth Proportional to 959.57, 1,438.99 and 310.13

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Solution

The fourth proportional to 959.57, 1,438.99 and 310.13 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,438.99 = 310.13 : x
  2. Step 2: Convert to fraction form
    959.57/1,438.99 = 310.13/x
  3. Step 3: Cross multiply
    959.57x = 1,438.99 × 310.13
  4. Step 4: Simplify right side
    959.57x = 446,266.00
  5. Step 5: Solve for x
    x = 446,266.00/959.57
  6. Step 6: Final answer
    x = 465.07

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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.