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Finding the Fourth Proportional to 649.24, 972.99 and 237.99

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Solution

The fourth proportional to 649.24, 972.99 and 237.99 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 972.99 = 237.99 : x
  2. Step 2: Convert to fraction form
    649.24/972.99 = 237.99/x
  3. Step 3: Cross multiply
    649.24x = 972.99 × 237.99
  4. Step 4: Simplify right side
    649.24x = 231,559.40
  5. Step 5: Solve for x
    x = 231,559.40/649.24
  6. Step 6: Final answer
    x = 356.66

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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.