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Finding the Fourth Proportional to 623.29, 933.69 and 298.87

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Solution

The fourth proportional to 623.29, 933.69 and 298.87 is: 447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.29 : 933.69 = 298.87 : x
  2. Step 2: Convert to fraction form
    623.29/933.69 = 298.87/x
  3. Step 3: Cross multiply
    623.29x = 933.69 × 298.87
  4. Step 4: Simplify right side
    623.29x = 279,051.93
  5. Step 5: Solve for x
    x = 279,051.93/623.29
  6. Step 6: Final answer
    x = 447.71

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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.