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Finding the Fourth Proportional to 432.89, 597.32 and 275.55

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Solution

The fourth proportional to 432.89, 597.32 and 275.55 is: 380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.89 : 597.32 = 275.55 : x
  2. Step 2: Convert to fraction form
    432.89/597.32 = 275.55/x
  3. Step 3: Cross multiply
    432.89x = 597.32 × 275.55
  4. Step 4: Simplify right side
    432.89x = 164,593.85
  5. Step 5: Solve for x
    x = 164,593.85/432.89
  6. Step 6: Final answer
    x = 380.22

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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.