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Finding the Fourth Proportional to 488.98, 674.80 and 292.50

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Solution

The fourth proportional to 488.98, 674.80 and 292.50 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.98 : 674.80 = 292.50 : x
  2. Step 2: Convert to fraction form
    488.98/674.80 = 292.50/x
  3. Step 3: Cross multiply
    488.98x = 674.80 × 292.50
  4. Step 4: Simplify right side
    488.98x = 197,379
  5. Step 5: Solve for x
    x = 197,379/488.98
  6. Step 6: Final answer
    x = 403.65

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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.