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Finding the Fourth Proportional to 459.84, 689.76 and 199.83

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Solution

The fourth proportional to 459.84, 689.76 and 199.83 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 689.76 = 199.83 : x
  2. Step 2: Convert to fraction form
    459.84/689.76 = 199.83/x
  3. Step 3: Cross multiply
    459.84x = 689.76 × 199.83
  4. Step 4: Simplify right side
    459.84x = 137,834.74
  5. Step 5: Solve for x
    x = 137,834.74/459.84
  6. Step 6: Final answer
    x = 299.75

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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.