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Finding the Fourth Proportional to 493.82, 740.71 and 128.61

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Solution

The fourth proportional to 493.82, 740.71 and 128.61 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 740.71 = 128.61 : x
  2. Step 2: Convert to fraction form
    493.82/740.71 = 128.61/x
  3. Step 3: Cross multiply
    493.82x = 740.71 × 128.61
  4. Step 4: Simplify right side
    493.82x = 95,262.39
  5. Step 5: Solve for x
    x = 95,262.39/493.82
  6. Step 6: Final answer
    x = 192.91

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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.