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Finding the Fourth Proportional to 432.62, 597.09 and 301.55

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Solution

The fourth proportional to 432.62, 597.09 and 301.55 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 597.09 = 301.55 : x
  2. Step 2: Convert to fraction form
    432.62/597.09 = 301.55/x
  3. Step 3: Cross multiply
    432.62x = 597.09 × 301.55
  4. Step 4: Simplify right side
    432.62x = 180,052.13
  5. Step 5: Solve for x
    x = 180,052.13/432.62
  6. Step 6: Final answer
    x = 416.19

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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.