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Finding the Fourth Proportional to 488.46, 674.08 and 292.07

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Solution

The fourth proportional to 488.46, 674.08 and 292.07 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.46 : 674.08 = 292.07 : x
  2. Step 2: Convert to fraction form
    488.46/674.08 = 292.07/x
  3. Step 3: Cross multiply
    488.46x = 674.08 × 292.07
  4. Step 4: Simplify right side
    488.46x = 196,878.55
  5. Step 5: Solve for x
    x = 196,878.55/488.46
  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.