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Finding the Fourth Proportional to 801.68, 1,202.40 and 307.96

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Solution

The fourth proportional to 801.68, 1,202.40 and 307.96 is: 461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,202.40 = 307.96 : x
  2. Step 2: Convert to fraction form
    801.68/1,202.40 = 307.96/x
  3. Step 3: Cross multiply
    801.68x = 1,202.40 × 307.96
  4. Step 4: Simplify right side
    801.68x = 370,291.10
  5. Step 5: Solve for x
    x = 370,291.10/801.68
  6. Step 6: Final answer
    x = 461.89

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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.