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Finding the Fourth Proportional to 432.58, 596.94 and 255.52

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Solution

The fourth proportional to 432.58, 596.94 and 255.52 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.58 : 596.94 = 255.52 : x
  2. Step 2: Convert to fraction form
    432.58/596.94 = 255.52/x
  3. Step 3: Cross multiply
    432.58x = 596.94 × 255.52
  4. Step 4: Simplify right side
    432.58x = 152,530.11
  5. Step 5: Solve for x
    x = 152,530.11/432.58
  6. Step 6: Final answer
    x = 352.61

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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.