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Finding the Fourth Proportional to 495.96, 742.96 and 235.59

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Solution

The fourth proportional to 495.96, 742.96 and 235.59 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 742.96 = 235.59 : x
  2. Step 2: Convert to fraction form
    495.96/742.96 = 235.59/x
  3. Step 3: Cross multiply
    495.96x = 742.96 × 235.59
  4. Step 4: Simplify right side
    495.96x = 175,033.95
  5. Step 5: Solve for x
    x = 175,033.95/495.96
  6. Step 6: Final answer
    x = 352.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.