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Finding the Fourth Proportional to 488.65, 674.33 and 292.13

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Solution

The fourth proportional to 488.65, 674.33 and 292.13 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.65 : 674.33 = 292.13 : x
  2. Step 2: Convert to fraction form
    488.65/674.33 = 292.13/x
  3. Step 3: Cross multiply
    488.65x = 674.33 × 292.13
  4. Step 4: Simplify right side
    488.65x = 196,992.02
  5. Step 5: Solve for x
    x = 196,992.02/488.65
  6. Step 6: Final answer
    x = 403.14

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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.