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Finding the Fourth Proportional to 742.50, 1,114.11 and 310.02

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Solution

The fourth proportional to 742.50, 1,114.11 and 310.02 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,114.11 = 310.02 : x
  2. Step 2: Convert to fraction form
    742.50/1,114.11 = 310.02/x
  3. Step 3: Cross multiply
    742.50x = 1,114.11 × 310.02
  4. Step 4: Simplify right side
    742.50x = 345,396.38
  5. Step 5: Solve for x
    x = 345,396.38/742.50
  6. Step 6: Final answer
    x = 465.18

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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.