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Finding the Fourth Proportional to 432.82, 597.42 and 301.87

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Solution

The fourth proportional to 432.82, 597.42 and 301.87 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.82 : 597.42 = 301.87 : x
  2. Step 2: Convert to fraction form
    432.82/597.42 = 301.87/x
  3. Step 3: Cross multiply
    432.82x = 597.42 × 301.87
  4. Step 4: Simplify right side
    432.82x = 180,338.68
  5. Step 5: Solve for x
    x = 180,338.68/432.82
  6. Step 6: Final answer
    x = 416.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.