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Finding the Fourth Proportional to 432.36, 596.46 and 257.64

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Solution

The fourth proportional to 432.36, 596.46 and 257.64 is: 355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.36 : 596.46 = 257.64 : x
  2. Step 2: Convert to fraction form
    432.36/596.46 = 257.64/x
  3. Step 3: Cross multiply
    432.36x = 596.46 × 257.64
  4. Step 4: Simplify right side
    432.36x = 153,671.95
  5. Step 5: Solve for x
    x = 153,671.95/432.36
  6. Step 6: Final answer
    x = 355.43

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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.