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Finding the Fourth Proportional to 459.05, 688.57 and 215.74

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Solution

The fourth proportional to 459.05, 688.57 and 215.74 is: 323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 688.57 = 215.74 : x
  2. Step 2: Convert to fraction form
    459.05/688.57 = 215.74/x
  3. Step 3: Cross multiply
    459.05x = 688.57 × 215.74
  4. Step 4: Simplify right side
    459.05x = 148,552.09
  5. Step 5: Solve for x
    x = 148,552.09/459.05
  6. Step 6: Final answer
    x = 323.61

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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.