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Finding the Fourth Proportional to 498.43, 747.87 and 206.00

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Solution

The fourth proportional to 498.43, 747.87 and 206.00 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 747.87 = 206.00 : x
  2. Step 2: Convert to fraction form
    498.43/747.87 = 206.00/x
  3. Step 3: Cross multiply
    498.43x = 747.87 × 206.00
  4. Step 4: Simplify right side
    498.43x = 154,056.45
  5. Step 5: Solve for x
    x = 154,056.45/498.43
  6. Step 6: Final answer
    x = 309.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.