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Finding the Fourth Proportional to 467.00, 644.46 and 265.10

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Solution

The fourth proportional to 467.00, 644.46 and 265.10 is: 365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.00 : 644.46 = 265.10 : x
  2. Step 2: Convert to fraction form
    467.00/644.46 = 265.10/x
  3. Step 3: Cross multiply
    467.00x = 644.46 × 265.10
  4. Step 4: Simplify right side
    467.00x = 170,843.12
  5. Step 5: Solve for x
    x = 170,843.12/467.00
  6. Step 6: Final answer
    x = 365.84

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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.