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Finding the Fourth Proportional to 432.42, 596.84 and 266.78

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Solution

The fourth proportional to 432.42, 596.84 and 266.78 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 596.84 = 266.78 : x
  2. Step 2: Convert to fraction form
    432.42/596.84 = 266.78/x
  3. Step 3: Cross multiply
    432.42x = 596.84 × 266.78
  4. Step 4: Simplify right side
    432.42x = 159,224.98
  5. Step 5: Solve for x
    x = 159,224.98/432.42
  6. Step 6: Final answer
    x = 368.22

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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.