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Finding the Fourth Proportional to 869.24, 1,303.68 and 252.81

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Solution

The fourth proportional to 869.24, 1,303.68 and 252.81 is: 379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.24 : 1,303.68 = 252.81 : x
  2. Step 2: Convert to fraction form
    869.24/1,303.68 = 252.81/x
  3. Step 3: Cross multiply
    869.24x = 1,303.68 × 252.81
  4. Step 4: Simplify right side
    869.24x = 329,583.34
  5. Step 5: Solve for x
    x = 329,583.34/869.24
  6. Step 6: Final answer
    x = 379.16

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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.