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Finding the Fourth Proportional to 623.72, 935.89 and 315.52

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Solution

The fourth proportional to 623.72, 935.89 and 315.52 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 935.89 = 315.52 : x
  2. Step 2: Convert to fraction form
    623.72/935.89 = 315.52/x
  3. Step 3: Cross multiply
    623.72x = 935.89 × 315.52
  4. Step 4: Simplify right side
    623.72x = 295,288.88
  5. Step 5: Solve for x
    x = 295,288.88/623.72
  6. Step 6: Final answer
    x = 473.43

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