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Finding the Fourth Proportional to 432.89, 597.63 and 275.72

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Solution

The fourth proportional to 432.89, 597.63 and 275.72 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.89 : 597.63 = 275.72 : x
  2. Step 2: Convert to fraction form
    432.89/597.63 = 275.72/x
  3. Step 3: Cross multiply
    432.89x = 597.63 × 275.72
  4. Step 4: Simplify right side
    432.89x = 164,778.54
  5. Step 5: Solve for x
    x = 164,778.54/432.89
  6. Step 6: Final answer
    x = 380.65

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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.