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Finding the Fourth Proportional to 498.20, 686.98 and 428.50

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Solution

The fourth proportional to 498.20, 686.98 and 428.50 is: 590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 686.98 = 428.50 : x
  2. Step 2: Convert to fraction form
    498.20/686.98 = 428.50/x
  3. Step 3: Cross multiply
    498.20x = 686.98 × 428.50
  4. Step 4: Simplify right side
    498.20x = 294,370.93
  5. Step 5: Solve for x
    x = 294,370.93/498.20
  6. Step 6: Final answer
    x = 590.87

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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.