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Finding the Fourth Proportional to 467.53, 645.01 and 301.84

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Solution

The fourth proportional to 467.53, 645.01 and 301.84 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.53 : 645.01 = 301.84 : x
  2. Step 2: Convert to fraction form
    467.53/645.01 = 301.84/x
  3. Step 3: Cross multiply
    467.53x = 645.01 × 301.84
  4. Step 4: Simplify right side
    467.53x = 194,687.45
  5. Step 5: Solve for x
    x = 194,687.45/467.53
  6. Step 6: Final answer
    x = 416.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.