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Finding the Fourth Proportional to 432.32, 596.58 and 266.55

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Solution

The fourth proportional to 432.32, 596.58 and 266.55 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.32 : 596.58 = 266.55 : x
  2. Step 2: Convert to fraction form
    432.32/596.58 = 266.55/x
  3. Step 3: Cross multiply
    432.32x = 596.58 × 266.55
  4. Step 4: Simplify right side
    432.32x = 159,014.08
  5. Step 5: Solve for x
    x = 159,014.08/432.32
  6. Step 6: Final answer
    x = 367.82

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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.