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Finding the Fourth Proportional to 296.86, 409.06 and 252.46

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Solution

The fourth proportional to 296.86, 409.06 and 252.46 is: 347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 409.06 = 252.46 : x
  2. Step 2: Convert to fraction form
    296.86/409.06 = 252.46/x
  3. Step 3: Cross multiply
    296.86x = 409.06 × 252.46
  4. Step 4: Simplify right side
    296.86x = 103,271.29
  5. Step 5: Solve for x
    x = 103,271.29/296.86
  6. Step 6: Final answer
    x = 347.88

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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.