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Finding the Fourth Proportional to 493.04, 740.02 and 249.74

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Solution

The fourth proportional to 493.04, 740.02 and 249.74 is: 374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.04 : 740.02 = 249.74 : x
  2. Step 2: Convert to fraction form
    493.04/740.02 = 249.74/x
  3. Step 3: Cross multiply
    493.04x = 740.02 × 249.74
  4. Step 4: Simplify right side
    493.04x = 184,808.27
  5. Step 5: Solve for x
    x = 184,808.27/493.04
  6. Step 6: Final answer
    x = 374.83

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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.