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Finding the Fourth Proportional to 432.53, 596.82 and 266.72

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Solution

The fourth proportional to 432.53, 596.82 and 266.72 is: 368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.53 : 596.82 = 266.72 : x
  2. Step 2: Convert to fraction form
    432.53/596.82 = 266.72/x
  3. Step 3: Cross multiply
    432.53x = 596.82 × 266.72
  4. Step 4: Simplify right side
    432.53x = 159,180.85
  5. Step 5: Solve for x
    x = 159,180.85/432.53
  6. Step 6: Final answer
    x = 368.02

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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.