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Finding the Fourth Proportional to 296.99, 410.45 and 223.28

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Solution

The fourth proportional to 296.99, 410.45 and 223.28 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.99 : 410.45 = 223.28 : x
  2. Step 2: Convert to fraction form
    296.99/410.45 = 223.28/x
  3. Step 3: Cross multiply
    296.99x = 410.45 × 223.28
  4. Step 4: Simplify right side
    296.99x = 91,642.11
  5. Step 5: Solve for x
    x = 91,642.11/296.99
  6. Step 6: Final answer
    x = 308.57

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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.