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Finding the Fourth Proportional to 494.95, 742.78 and 221.35

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Solution

The fourth proportional to 494.95, 742.78 and 221.35 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.95 : 742.78 = 221.35 : x
  2. Step 2: Convert to fraction form
    494.95/742.78 = 221.35/x
  3. Step 3: Cross multiply
    494.95x = 742.78 × 221.35
  4. Step 4: Simplify right side
    494.95x = 164,412.77
  5. Step 5: Solve for x
    x = 164,412.77/494.95
  6. Step 6: Final answer
    x = 332.18

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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.