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Finding the Fourth Proportional to 298.60, 447.59 and 284.22

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Solution

The fourth proportional to 298.60, 447.59 and 284.22 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 447.59 = 284.22 : x
  2. Step 2: Convert to fraction form
    298.60/447.59 = 284.22/x
  3. Step 3: Cross multiply
    298.60x = 447.59 × 284.22
  4. Step 4: Simplify right side
    298.60x = 127,214.74
  5. Step 5: Solve for x
    x = 127,214.74/298.60
  6. Step 6: Final answer
    x = 426.04

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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.