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Finding the Fourth Proportional to 467.52, 644.16 and 445.68

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Solution

The fourth proportional to 467.52, 644.16 and 445.68 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 644.16 = 445.68 : x
  2. Step 2: Convert to fraction form
    467.52/644.16 = 445.68/x
  3. Step 3: Cross multiply
    467.52x = 644.16 × 445.68
  4. Step 4: Simplify right side
    467.52x = 287,089.23
  5. Step 5: Solve for x
    x = 287,089.23/467.52
  6. Step 6: Final answer
    x = 614.07

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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.