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Finding the Fourth Proportional to 869.20, 1,303.33 and 381.68

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Solution

The fourth proportional to 869.20, 1,303.33 and 381.68 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.20 : 1,303.33 = 381.68 : x
  2. Step 2: Convert to fraction form
    869.20/1,303.33 = 381.68/x
  3. Step 3: Cross multiply
    869.20x = 1,303.33 × 381.68
  4. Step 4: Simplify right side
    869.20x = 497,454.99
  5. Step 5: Solve for x
    x = 497,454.99/869.20
  6. Step 6: Final answer
    x = 572.31

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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.