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Finding the Fourth Proportional to 819.60, 1,228.98 and 242.40

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Solution

The fourth proportional to 819.60, 1,228.98 and 242.40 is: 363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.60 : 1,228.98 = 242.40 : x
  2. Step 2: Convert to fraction form
    819.60/1,228.98 = 242.40/x
  3. Step 3: Cross multiply
    819.60x = 1,228.98 × 242.40
  4. Step 4: Simplify right side
    819.60x = 297,904.75
  5. Step 5: Solve for x
    x = 297,904.75/819.60
  6. Step 6: Final answer
    x = 363.48

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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.