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Finding the Fourth Proportional to 329.61, 494.35 and 214.87

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Solution

The fourth proportional to 329.61, 494.35 and 214.87 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.61 : 494.35 = 214.87 : x
  2. Step 2: Convert to fraction form
    329.61/494.35 = 214.87/x
  3. Step 3: Cross multiply
    329.61x = 494.35 × 214.87
  4. Step 4: Simplify right side
    329.61x = 106,220.98
  5. Step 5: Solve for x
    x = 106,220.98/329.61
  6. Step 6: Final answer
    x = 322.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.