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Finding the Fourth Proportional to 432.61, 596.46 and 315.97

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Solution

The fourth proportional to 432.61, 596.46 and 315.97 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 596.46 = 315.97 : x
  2. Step 2: Convert to fraction form
    432.61/596.46 = 315.97/x
  3. Step 3: Cross multiply
    432.61x = 596.46 × 315.97
  4. Step 4: Simplify right side
    432.61x = 188,463.16
  5. Step 5: Solve for x
    x = 188,463.16/432.61
  6. Step 6: Final answer
    x = 435.64

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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.