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Finding the Fourth Proportional to 467.42, 644.72 and 301.38

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Solution

The fourth proportional to 467.42, 644.72 and 301.38 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 644.72 = 301.38 : x
  2. Step 2: Convert to fraction form
    467.42/644.72 = 301.38/x
  3. Step 3: Cross multiply
    467.42x = 644.72 × 301.38
  4. Step 4: Simplify right side
    467.42x = 194,305.71
  5. Step 5: Solve for x
    x = 194,305.71/467.42
  6. Step 6: Final answer
    x = 415.70

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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.