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Finding the Fourth Proportional to 432.01, 596.00 and 301.10

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Solution

The fourth proportional to 432.01, 596.00 and 301.10 is: 415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.01 : 596.00 = 301.10 : x
  2. Step 2: Convert to fraction form
    432.01/596.00 = 301.10/x
  3. Step 3: Cross multiply
    432.01x = 596.00 × 301.10
  4. Step 4: Simplify right side
    432.01x = 179,451.68
  5. Step 5: Solve for x
    x = 179,451.68/432.01
  6. Step 6: Final answer
    x = 415.39

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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.