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Finding the Fourth Proportional to 866.33, 1,300.01 and 318.56

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Solution

The fourth proportional to 866.33, 1,300.01 and 318.56 is: 478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.33 : 1,300.01 = 318.56 : x
  2. Step 2: Convert to fraction form
    866.33/1,300.01 = 318.56/x
  3. Step 3: Cross multiply
    866.33x = 1,300.01 × 318.56
  4. Step 4: Simplify right side
    866.33x = 414,123.09
  5. Step 5: Solve for x
    x = 414,123.09/866.33
  6. Step 6: Final answer
    x = 478.02

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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.