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Finding the Fourth Proportional to 956.97, 1,435.45 and 307.71

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Solution

The fourth proportional to 956.97, 1,435.45 and 307.71 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.97 : 1,435.45 = 307.71 : x
  2. Step 2: Convert to fraction form
    956.97/1,435.45 = 307.71/x
  3. Step 3: Cross multiply
    956.97x = 1,435.45 × 307.71
  4. Step 4: Simplify right side
    956.97x = 441,694.37
  5. Step 5: Solve for x
    x = 441,694.37/956.97
  6. Step 6: Final answer
    x = 461.56

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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.