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Finding the Fourth Proportional to 499.02, 747.15 and 254.34

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Solution

The fourth proportional to 499.02, 747.15 and 254.34 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 747.15 = 254.34 : x
  2. Step 2: Convert to fraction form
    499.02/747.15 = 254.34/x
  3. Step 3: Cross multiply
    499.02x = 747.15 × 254.34
  4. Step 4: Simplify right side
    499.02x = 190,030.13
  5. Step 5: Solve for x
    x = 190,030.13/499.02
  6. Step 6: Final answer
    x = 380.81

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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.