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Finding the Fourth Proportional to 296.84, 409.77 and 231.23

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Solution

The fourth proportional to 296.84, 409.77 and 231.23 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 409.77 = 231.23 : x
  2. Step 2: Convert to fraction form
    296.84/409.77 = 231.23/x
  3. Step 3: Cross multiply
    296.84x = 409.77 × 231.23
  4. Step 4: Simplify right side
    296.84x = 94,749.07
  5. Step 5: Solve for x
    x = 94,749.07/296.84
  6. Step 6: Final answer
    x = 319.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.