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Finding the Fourth Proportional to 432.62, 596.84 and 301.70

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Solution

The fourth proportional to 432.62, 596.84 and 301.70 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 596.84 = 301.70 : x
  2. Step 2: Convert to fraction form
    432.62/596.84 = 301.70/x
  3. Step 3: Cross multiply
    432.62x = 596.84 × 301.70
  4. Step 4: Simplify right side
    432.62x = 180,066.61
  5. Step 5: Solve for x
    x = 180,066.61/432.62
  6. Step 6: Final answer
    x = 416.23

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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.