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Finding the Fourth Proportional to 464.72, 696.10 and 372.92

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Solution

The fourth proportional to 464.72, 696.10 and 372.92 is: 558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 696.10 = 372.92 : x
  2. Step 2: Convert to fraction form
    464.72/696.10 = 372.92/x
  3. Step 3: Cross multiply
    464.72x = 696.10 × 372.92
  4. Step 4: Simplify right side
    464.72x = 259,589.61
  5. Step 5: Solve for x
    x = 259,589.61/464.72
  6. Step 6: Final answer
    x = 558.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.