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Finding the Fourth Proportional to 488.66, 674.19 and 292.14

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Solution

The fourth proportional to 488.66, 674.19 and 292.14 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 674.19 = 292.14 : x
  2. Step 2: Convert to fraction form
    488.66/674.19 = 292.14/x
  3. Step 3: Cross multiply
    488.66x = 674.19 × 292.14
  4. Step 4: Simplify right side
    488.66x = 196,957.87
  5. Step 5: Solve for x
    x = 196,957.87/488.66
  6. Step 6: Final answer
    x = 403.06

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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.