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Finding the Fourth Proportional to 459, 688.50 and 199

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Solution

The fourth proportional to 459, 688.50 and 199 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 688.50 = 199 : x
  2. Step 2: Convert to fraction form
    459/688.50 = 199/x
  3. Step 3: Cross multiply
    459x = 688.50 × 199
  4. Step 4: Simplify right side
    459x = 137,011.50
  5. Step 5: Solve for x
    x = 137,011.50/459
  6. Step 6: Final answer
    x = 298.50

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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.