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Finding the Fourth Proportional to 432.29, 595.90 and 266.20

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Solution

The fourth proportional to 432.29, 595.90 and 266.20 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 595.90 = 266.20 : x
  2. Step 2: Convert to fraction form
    432.29/595.90 = 266.20/x
  3. Step 3: Cross multiply
    432.29x = 595.90 × 266.20
  4. Step 4: Simplify right side
    432.29x = 158,628.58
  5. Step 5: Solve for x
    x = 158,628.58/432.29
  6. Step 6: Final answer
    x = 366.95

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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.