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Finding the Fourth Proportional to 432.81, 593.01 and 427.41

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Solution

The fourth proportional to 432.81, 593.01 and 427.41 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 593.01 = 427.41 : x
  2. Step 2: Convert to fraction form
    432.81/593.01 = 427.41/x
  3. Step 3: Cross multiply
    432.81x = 593.01 × 427.41
  4. Step 4: Simplify right side
    432.81x = 253,458.40
  5. Step 5: Solve for x
    x = 253,458.40/432.81
  6. Step 6: Final answer
    x = 585.61

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