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Finding the Fourth Proportional to 296.52, 409.35 and 216.84

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Solution

The fourth proportional to 296.52, 409.35 and 216.84 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 409.35 = 216.84 : x
  2. Step 2: Convert to fraction form
    296.52/409.35 = 216.84/x
  3. Step 3: Cross multiply
    296.52x = 409.35 × 216.84
  4. Step 4: Simplify right side
    296.52x = 88,763.45
  5. Step 5: Solve for x
    x = 88,763.45/296.52
  6. Step 6: Final answer
    x = 299.35

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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.