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Finding the Fourth Proportional to 491.06, 677.40 and 294.43

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Solution

The fourth proportional to 491.06, 677.40 and 294.43 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 677.40 = 294.43 : x
  2. Step 2: Convert to fraction form
    491.06/677.40 = 294.43/x
  3. Step 3: Cross multiply
    491.06x = 677.40 × 294.43
  4. Step 4: Simplify right side
    491.06x = 199,445.41
  5. Step 5: Solve for x
    x = 199,445.41/491.06
  6. Step 6: Final answer
    x = 406.16

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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.