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Finding the Fourth Proportional to 657.99, 987.04 and 219.23

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Solution

The fourth proportional to 657.99, 987.04 and 219.23 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.99 : 987.04 = 219.23 : x
  2. Step 2: Convert to fraction form
    657.99/987.04 = 219.23/x
  3. Step 3: Cross multiply
    657.99x = 987.04 × 219.23
  4. Step 4: Simplify right side
    657.99x = 216,388.78
  5. Step 5: Solve for x
    x = 216,388.78/657.99
  6. Step 6: Final answer
    x = 328.86

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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.