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Finding the Fourth Proportional to 851.60, 1,277.07 and 296.15

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Solution

The fourth proportional to 851.60, 1,277.07 and 296.15 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.60 : 1,277.07 = 296.15 : x
  2. Step 2: Convert to fraction form
    851.60/1,277.07 = 296.15/x
  3. Step 3: Cross multiply
    851.60x = 1,277.07 × 296.15
  4. Step 4: Simplify right side
    851.60x = 378,204.28
  5. Step 5: Solve for x
    x = 378,204.28/851.60
  6. Step 6: Final answer
    x = 444.11

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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.