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Finding the Fourth Proportional to 488.69, 674.33 and 292.16

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Solution

The fourth proportional to 488.69, 674.33 and 292.16 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.69 : 674.33 = 292.16 : x
  2. Step 2: Convert to fraction form
    488.69/674.33 = 292.16/x
  3. Step 3: Cross multiply
    488.69x = 674.33 × 292.16
  4. Step 4: Simplify right side
    488.69x = 197,007.42
  5. Step 5: Solve for x
    x = 197,007.42/488.69
  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.