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Finding the Fourth Proportional to 498.36, 748.08 and 210

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Solution

The fourth proportional to 498.36, 748.08 and 210 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 748.08 = 210 : x
  2. Step 2: Convert to fraction form
    498.36/748.08 = 210/x
  3. Step 3: Cross multiply
    498.36x = 748.08 × 210
  4. Step 4: Simplify right side
    498.36x = 157,096.80
  5. Step 5: Solve for x
    x = 157,096.80/498.36
  6. Step 6: Final answer
    x = 315.23

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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.