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Finding the Fourth Proportional to 432.87, 593.89 and 412.21

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Solution

The fourth proportional to 432.87, 593.89 and 412.21 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.87 : 593.89 = 412.21 : x
  2. Step 2: Convert to fraction form
    432.87/593.89 = 412.21/x
  3. Step 3: Cross multiply
    432.87x = 593.89 × 412.21
  4. Step 4: Simplify right side
    432.87x = 244,807.40
  5. Step 5: Solve for x
    x = 244,807.40/432.87
  6. Step 6: Final answer
    x = 565.54

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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.