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Finding the Fourth Proportional to 432.28, 596.64 and 301.90

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Solution

The fourth proportional to 432.28, 596.64 and 301.90 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 596.64 = 301.90 : x
  2. Step 2: Convert to fraction form
    432.28/596.64 = 301.90/x
  3. Step 3: Cross multiply
    432.28x = 596.64 × 301.90
  4. Step 4: Simplify right side
    432.28x = 180,125.62
  5. Step 5: Solve for x
    x = 180,125.62/432.28
  6. Step 6: Final answer
    x = 416.69

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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.