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Finding the Fourth Proportional to 432.74, 596.26 and 301.52

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Solution

The fourth proportional to 432.74, 596.26 and 301.52 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 596.26 = 301.52 : x
  2. Step 2: Convert to fraction form
    432.74/596.26 = 301.52/x
  3. Step 3: Cross multiply
    432.74x = 596.26 × 301.52
  4. Step 4: Simplify right side
    432.74x = 179,786.18
  5. Step 5: Solve for x
    x = 179,786.18/432.74
  6. Step 6: Final answer
    x = 415.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.