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Finding the Fourth Proportional to 459.23, 689.15 and 215.78

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Solution

The fourth proportional to 459.23, 689.15 and 215.78 is: 323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 689.15 = 215.78 : x
  2. Step 2: Convert to fraction form
    459.23/689.15 = 215.78/x
  3. Step 3: Cross multiply
    459.23x = 689.15 × 215.78
  4. Step 4: Simplify right side
    459.23x = 148,707.05
  5. Step 5: Solve for x
    x = 148,707.05/459.23
  6. Step 6: Final answer
    x = 323.82

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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.