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Finding the Fourth Proportional to 459.87, 689.00 and 243.60

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Solution

The fourth proportional to 459.87, 689.00 and 243.60 is: 364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 689.00 = 243.60 : x
  2. Step 2: Convert to fraction form
    459.87/689.00 = 243.60/x
  3. Step 3: Cross multiply
    459.87x = 689.00 × 243.60
  4. Step 4: Simplify right side
    459.87x = 167,839.18
  5. Step 5: Solve for x
    x = 167,839.18/459.87
  6. Step 6: Final answer
    x = 364.97

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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.