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Finding the Fourth Proportional to 500.00, 749.97 and 493.16

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Solution

The fourth proportional to 500.00, 749.97 and 493.16 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.00 : 749.97 = 493.16 : x
  2. Step 2: Convert to fraction form
    500.00/749.97 = 493.16/x
  3. Step 3: Cross multiply
    500.00x = 749.97 × 493.16
  4. Step 4: Simplify right side
    500.00x = 369,851.46
  5. Step 5: Solve for x
    x = 369,851.46/500.00
  6. Step 6: Final answer
    x = 739.71

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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.