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Finding the Fourth Proportional to 491.46, 677.93 and 292.23

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Solution

The fourth proportional to 491.46, 677.93 and 292.23 is: 403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 677.93 = 292.23 : x
  2. Step 2: Convert to fraction form
    491.46/677.93 = 292.23/x
  3. Step 3: Cross multiply
    491.46x = 677.93 × 292.23
  4. Step 4: Simplify right side
    491.46x = 198,112.21
  5. Step 5: Solve for x
    x = 198,112.21/491.46
  6. Step 6: Final answer
    x = 403.11

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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.