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Finding the Fourth Proportional to 801.10, 1,201.40 and 314.30

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Solution

The fourth proportional to 801.10, 1,201.40 and 314.30 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.10 : 1,201.40 = 314.30 : x
  2. Step 2: Convert to fraction form
    801.10/1,201.40 = 314.30/x
  3. Step 3: Cross multiply
    801.10x = 1,201.40 × 314.30
  4. Step 4: Simplify right side
    801.10x = 377,600.02
  5. Step 5: Solve for x
    x = 377,600.02/801.10
  6. Step 6: Final answer
    x = 471.35

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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.