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Finding the Fourth Proportional to 432.59, 596.41 and 314.18

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Solution

The fourth proportional to 432.59, 596.41 and 314.18 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.59 : 596.41 = 314.18 : x
  2. Step 2: Convert to fraction form
    432.59/596.41 = 314.18/x
  3. Step 3: Cross multiply
    432.59x = 596.41 × 314.18
  4. Step 4: Simplify right side
    432.59x = 187,382.22
  5. Step 5: Solve for x
    x = 187,382.22/432.59
  6. Step 6: Final answer
    x = 433.17

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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.