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Finding the Fourth Proportional to 432.08, 595.92 and 265.99

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Solution

The fourth proportional to 432.08, 595.92 and 265.99 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.08 : 595.92 = 265.99 : x
  2. Step 2: Convert to fraction form
    432.08/595.92 = 265.99/x
  3. Step 3: Cross multiply
    432.08x = 595.92 × 265.99
  4. Step 4: Simplify right side
    432.08x = 158,508.76
  5. Step 5: Solve for x
    x = 158,508.76/432.08
  6. Step 6: Final answer
    x = 366.85

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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.