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Finding the Fourth Proportional to 491.24, 677.88 and 294.75

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Solution

The fourth proportional to 491.24, 677.88 and 294.75 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 677.88 = 294.75 : x
  2. Step 2: Convert to fraction form
    491.24/677.88 = 294.75/x
  3. Step 3: Cross multiply
    491.24x = 677.88 × 294.75
  4. Step 4: Simplify right side
    491.24x = 199,805.13
  5. Step 5: Solve for x
    x = 199,805.13/491.24
  6. Step 6: Final answer
    x = 406.74

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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.