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Finding the Fourth Proportional to 305.20, 455.56 and 282.62

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Solution

The fourth proportional to 305.20, 455.56 and 282.62 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.20 : 455.56 = 282.62 : x
  2. Step 2: Convert to fraction form
    305.20/455.56 = 282.62/x
  3. Step 3: Cross multiply
    305.20x = 455.56 × 282.62
  4. Step 4: Simplify right side
    305.20x = 128,750.80
  5. Step 5: Solve for x
    x = 128,750.80/305.20
  6. Step 6: Final answer
    x = 421.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.