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Finding the Fourth Proportional to 432.87, 596.66 and 301.65

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Solution

The fourth proportional to 432.87, 596.66 and 301.65 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.87 : 596.66 = 301.65 : x
  2. Step 2: Convert to fraction form
    432.87/596.66 = 301.65/x
  3. Step 3: Cross multiply
    432.87x = 596.66 × 301.65
  4. Step 4: Simplify right side
    432.87x = 179,980.98
  5. Step 5: Solve for x
    x = 179,980.98/432.87
  6. Step 6: Final answer
    x = 415.79

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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.