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Finding the Fourth Proportional to 498.84, 748.38 and 293.58

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Solution

The fourth proportional to 498.84, 748.38 and 293.58 is: 440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 748.38 = 293.58 : x
  2. Step 2: Convert to fraction form
    498.84/748.38 = 293.58/x
  3. Step 3: Cross multiply
    498.84x = 748.38 × 293.58
  4. Step 4: Simplify right side
    498.84x = 219,709.40
  5. Step 5: Solve for x
    x = 219,709.40/498.84
  6. Step 6: Final answer
    x = 440.44

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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.