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Finding the Fourth Proportional to 459.48, 689.22 and 199.45

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Solution

The fourth proportional to 459.48, 689.22 and 199.45 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 689.22 = 199.45 : x
  2. Step 2: Convert to fraction form
    459.48/689.22 = 199.45/x
  3. Step 3: Cross multiply
    459.48x = 689.22 × 199.45
  4. Step 4: Simplify right side
    459.48x = 137,464.55
  5. Step 5: Solve for x
    x = 137,464.55/459.48
  6. Step 6: Final answer
    x = 299.17

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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.