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Finding the Fourth Proportional to 459.56, 689.42 and 243.08

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Solution

The fourth proportional to 459.56, 689.42 and 243.08 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 689.42 = 243.08 : x
  2. Step 2: Convert to fraction form
    459.56/689.42 = 243.08/x
  3. Step 3: Cross multiply
    459.56x = 689.42 × 243.08
  4. Step 4: Simplify right side
    459.56x = 167,584.21
  5. Step 5: Solve for x
    x = 167,584.21/459.56
  6. Step 6: Final answer
    x = 364.66

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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.