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Finding the Fourth Proportional to 491.33, 677.82 and 292.13

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Solution

The fourth proportional to 491.33, 677.82 and 292.13 is: 403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.33 : 677.82 = 292.13 : x
  2. Step 2: Convert to fraction form
    491.33/677.82 = 292.13/x
  3. Step 3: Cross multiply
    491.33x = 677.82 × 292.13
  4. Step 4: Simplify right side
    491.33x = 198,013.25
  5. Step 5: Solve for x
    x = 198,013.25/491.33
  6. Step 6: Final answer
    x = 403.02

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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.