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Finding the Fourth Proportional to 459.48, 689.24 and 243.12

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Solution

The fourth proportional to 459.48, 689.24 and 243.12 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 689.24 = 243.12 : x
  2. Step 2: Convert to fraction form
    459.48/689.24 = 243.12/x
  3. Step 3: Cross multiply
    459.48x = 689.24 × 243.12
  4. Step 4: Simplify right side
    459.48x = 167,568.64
  5. Step 5: Solve for x
    x = 167,568.64/459.48
  6. Step 6: Final answer
    x = 364.69

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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.