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Finding the Fourth Proportional to 488.61, 674.14 and 292.08

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Solution

The fourth proportional to 488.61, 674.14 and 292.08 is: 402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.61 : 674.14 = 292.08 : x
  2. Step 2: Convert to fraction form
    488.61/674.14 = 292.08/x
  3. Step 3: Cross multiply
    488.61x = 674.14 × 292.08
  4. Step 4: Simplify right side
    488.61x = 196,901.35
  5. Step 5: Solve for x
    x = 196,901.35/488.61
  6. Step 6: Final answer
    x = 402.99

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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.