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Finding the Fourth Proportional to 412.48, 565.61 and 398.68

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Solution

The fourth proportional to 412.48, 565.61 and 398.68 is: 546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 565.61 = 398.68 : x
  2. Step 2: Convert to fraction form
    412.48/565.61 = 398.68/x
  3. Step 3: Cross multiply
    412.48x = 565.61 × 398.68
  4. Step 4: Simplify right side
    412.48x = 225,497.39
  5. Step 5: Solve for x
    x = 225,497.39/412.48
  6. Step 6: Final answer
    x = 546.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.