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Finding the Fourth Proportional to 467.19, 644.56 and 301.10

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Solution

The fourth proportional to 467.19, 644.56 and 301.10 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.19 : 644.56 = 301.10 : x
  2. Step 2: Convert to fraction form
    467.19/644.56 = 301.10/x
  3. Step 3: Cross multiply
    467.19x = 644.56 × 301.10
  4. Step 4: Simplify right side
    467.19x = 194,077.02
  5. Step 5: Solve for x
    x = 194,077.02/467.19
  6. Step 6: Final answer
    x = 415.41

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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.