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Finding the Fourth Proportional to 499.02, 748.70 and 407.36

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Solution

The fourth proportional to 499.02, 748.70 and 407.36 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 748.70 = 407.36 : x
  2. Step 2: Convert to fraction form
    499.02/748.70 = 407.36/x
  3. Step 3: Cross multiply
    499.02x = 748.70 × 407.36
  4. Step 4: Simplify right side
    499.02x = 304,990.43
  5. Step 5: Solve for x
    x = 304,990.43/499.02
  6. Step 6: Final answer
    x = 611.18

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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.