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Finding the Fourth Proportional to 498.84, 747.72 and 224.55

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Solution

The fourth proportional to 498.84, 747.72 and 224.55 is: 336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 747.72 = 224.55 : x
  2. Step 2: Convert to fraction form
    498.84/747.72 = 224.55/x
  3. Step 3: Cross multiply
    498.84x = 747.72 × 224.55
  4. Step 4: Simplify right side
    498.84x = 167,900.53
  5. Step 5: Solve for x
    x = 167,900.53/498.84
  6. Step 6: Final answer
    x = 336.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.