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Finding the Fourth Proportional to 432.68, 596.86 and 257.99

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Solution

The fourth proportional to 432.68, 596.86 and 257.99 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 596.86 = 257.99 : x
  2. Step 2: Convert to fraction form
    432.68/596.86 = 257.99/x
  3. Step 3: Cross multiply
    432.68x = 596.86 × 257.99
  4. Step 4: Simplify right side
    432.68x = 153,980.28
  5. Step 5: Solve for x
    x = 153,980.28/432.68
  6. Step 6: Final answer
    x = 355.88

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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.