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Finding the Fourth Proportional to 296.48, 409.16 and 247.28

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Solution

The fourth proportional to 296.48, 409.16 and 247.28 is: 341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 409.16 = 247.28 : x
  2. Step 2: Convert to fraction form
    296.48/409.16 = 247.28/x
  3. Step 3: Cross multiply
    296.48x = 409.16 × 247.28
  4. Step 4: Simplify right side
    296.48x = 101,177.08
  5. Step 5: Solve for x
    x = 101,177.08/296.48
  6. Step 6: Final answer
    x = 341.26

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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.