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Finding the Fourth Proportional to 432.41, 596.69 and 245.87

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Solution

The fourth proportional to 432.41, 596.69 and 245.87 is: 339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 596.69 = 245.87 : x
  2. Step 2: Convert to fraction form
    432.41/596.69 = 245.87/x
  3. Step 3: Cross multiply
    432.41x = 596.69 × 245.87
  4. Step 4: Simplify right side
    432.41x = 146,707.12
  5. Step 5: Solve for x
    x = 146,707.12/432.41
  6. Step 6: Final answer
    x = 339.28

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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.