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Finding the Fourth Proportional to 959.14, 1,438.34 and 309.52

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Solution

The fourth proportional to 959.14, 1,438.34 and 309.52 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.14 : 1,438.34 = 309.52 : x
  2. Step 2: Convert to fraction form
    959.14/1,438.34 = 309.52/x
  3. Step 3: Cross multiply
    959.14x = 1,438.34 × 309.52
  4. Step 4: Simplify right side
    959.14x = 445,195.00
  5. Step 5: Solve for x
    x = 445,195.00/959.14
  6. Step 6: Final answer
    x = 464.16

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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.