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Finding the Fourth Proportional to 863.02, 1,293.81 and 314.89

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Solution

The fourth proportional to 863.02, 1,293.81 and 314.89 is: 472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.02 : 1,293.81 = 314.89 : x
  2. Step 2: Convert to fraction form
    863.02/1,293.81 = 314.89/x
  3. Step 3: Cross multiply
    863.02x = 1,293.81 × 314.89
  4. Step 4: Simplify right side
    863.02x = 407,403.42
  5. Step 5: Solve for x
    x = 407,403.42/863.02
  6. Step 6: Final answer
    x = 472.07

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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.