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Finding the Fourth Proportional to 432.92, 596.55 and 314.51

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Solution

The fourth proportional to 432.92, 596.55 and 314.51 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 596.55 = 314.51 : x
  2. Step 2: Convert to fraction form
    432.92/596.55 = 314.51/x
  3. Step 3: Cross multiply
    432.92x = 596.55 × 314.51
  4. Step 4: Simplify right side
    432.92x = 187,620.94
  5. Step 5: Solve for x
    x = 187,620.94/432.92
  6. Step 6: Final answer
    x = 433.38

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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.