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Finding the Fourth Proportional to 432.13, 596.14 and 266.35

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Solution

The fourth proportional to 432.13, 596.14 and 266.35 is: 367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.13 : 596.14 = 266.35 : x
  2. Step 2: Convert to fraction form
    432.13/596.14 = 266.35/x
  3. Step 3: Cross multiply
    432.13x = 596.14 × 266.35
  4. Step 4: Simplify right side
    432.13x = 158,781.89
  5. Step 5: Solve for x
    x = 158,781.89/432.13
  6. Step 6: Final answer
    x = 367.44

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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.