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Finding the Fourth Proportional to 866.81, 1,300.22 and 353.81

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Solution

The fourth proportional to 866.81, 1,300.22 and 353.81 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.81 : 1,300.22 = 353.81 : x
  2. Step 2: Convert to fraction form
    866.81/1,300.22 = 353.81/x
  3. Step 3: Cross multiply
    866.81x = 1,300.22 × 353.81
  4. Step 4: Simplify right side
    866.81x = 460,033.65
  5. Step 5: Solve for x
    x = 460,033.65/866.81
  6. Step 6: Final answer
    x = 530.72

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Why These Related Problems?

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