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Finding the Fourth Proportional to 296.84, 409.46 and 213.98

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Solution

The fourth proportional to 296.84, 409.46 and 213.98 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 409.46 = 213.98 : x
  2. Step 2: Convert to fraction form
    296.84/409.46 = 213.98/x
  3. Step 3: Cross multiply
    296.84x = 409.46 × 213.98
  4. Step 4: Simplify right side
    296.84x = 87,615.18
  5. Step 5: Solve for x
    x = 87,615.18/296.84
  6. Step 6: Final answer
    x = 295.16

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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.