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Finding the Fourth Proportional to 491.27, 677.90 and 294.71

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Solution

The fourth proportional to 491.27, 677.90 and 294.71 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.27 : 677.90 = 294.71 : x
  2. Step 2: Convert to fraction form
    491.27/677.90 = 294.71/x
  3. Step 3: Cross multiply
    491.27x = 677.90 × 294.71
  4. Step 4: Simplify right side
    491.27x = 199,781.26
  5. Step 5: Solve for x
    x = 199,781.26/491.27
  6. Step 6: Final answer
    x = 406.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.