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Finding the Fourth Proportional to 432.02, 596.14 and 266.22

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Solution

The fourth proportional to 432.02, 596.14 and 266.22 is: 367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 596.14 = 266.22 : x
  2. Step 2: Convert to fraction form
    432.02/596.14 = 266.22/x
  3. Step 3: Cross multiply
    432.02x = 596.14 × 266.22
  4. Step 4: Simplify right side
    432.02x = 158,704.39
  5. Step 5: Solve for x
    x = 158,704.39/432.02
  6. Step 6: Final answer
    x = 367.35

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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.