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Finding the Fourth Proportional to 956.82, 1,435.20 and 307.53

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Solution

The fourth proportional to 956.82, 1,435.20 and 307.53 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.82 : 1,435.20 = 307.53 : x
  2. Step 2: Convert to fraction form
    956.82/1,435.20 = 307.53/x
  3. Step 3: Cross multiply
    956.82x = 1,435.20 × 307.53
  4. Step 4: Simplify right side
    956.82x = 441,367.06
  5. Step 5: Solve for x
    x = 441,367.06/956.82
  6. Step 6: Final answer
    x = 461.29

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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.