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Finding the Fourth Proportional to 462.99, 694.48 and 189.02

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Solution

The fourth proportional to 462.99, 694.48 and 189.02 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.99 : 694.48 = 189.02 : x
  2. Step 2: Convert to fraction form
    462.99/694.48 = 189.02/x
  3. Step 3: Cross multiply
    462.99x = 694.48 × 189.02
  4. Step 4: Simplify right side
    462.99x = 131,269.27
  5. Step 5: Solve for x
    x = 131,269.27/462.99
  6. Step 6: Final answer
    x = 283.52

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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.