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Finding the Fourth Proportional to 488.93, 674.84 and 292.56

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Solution

The fourth proportional to 488.93, 674.84 and 292.56 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.93 : 674.84 = 292.56 : x
  2. Step 2: Convert to fraction form
    488.93/674.84 = 292.56/x
  3. Step 3: Cross multiply
    488.93x = 674.84 × 292.56
  4. Step 4: Simplify right side
    488.93x = 197,431.19
  5. Step 5: Solve for x
    x = 197,431.19/488.93
  6. Step 6: Final answer
    x = 403.80

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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.