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Finding the Fourth Proportional to 298.53, 444.78 and 284.76

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Solution

The fourth proportional to 298.53, 444.78 and 284.76 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 444.78 = 284.76 : x
  2. Step 2: Convert to fraction form
    298.53/444.78 = 284.76/x
  3. Step 3: Cross multiply
    298.53x = 444.78 × 284.76
  4. Step 4: Simplify right side
    298.53x = 126,655.55
  5. Step 5: Solve for x
    x = 126,655.55/298.53
  6. Step 6: Final answer
    x = 424.26

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