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Finding the Fourth Proportional to 486.02, 728.55 and 226.10

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Solution

The fourth proportional to 486.02, 728.55 and 226.10 is: 338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 728.55 = 226.10 : x
  2. Step 2: Convert to fraction form
    486.02/728.55 = 226.10/x
  3. Step 3: Cross multiply
    486.02x = 728.55 × 226.10
  4. Step 4: Simplify right side
    486.02x = 164,725.16
  5. Step 5: Solve for x
    x = 164,725.16/486.02
  6. Step 6: Final answer
    x = 338.93

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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.