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Finding the Fourth Proportional to 432.62, 597.22 and 275.42

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Solution

The fourth proportional to 432.62, 597.22 and 275.42 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 597.22 = 275.42 : x
  2. Step 2: Convert to fraction form
    432.62/597.22 = 275.42/x
  3. Step 3: Cross multiply
    432.62x = 597.22 × 275.42
  4. Step 4: Simplify right side
    432.62x = 164,486.33
  5. Step 5: Solve for x
    x = 164,486.33/432.62
  6. Step 6: Final answer
    x = 380.21

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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.