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Finding the Fourth Proportional to 869.87, 1,305.00 and 284.91

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Solution

The fourth proportional to 869.87, 1,305.00 and 284.91 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.87 : 1,305.00 = 284.91 : x
  2. Step 2: Convert to fraction form
    869.87/1,305.00 = 284.91/x
  3. Step 3: Cross multiply
    869.87x = 1,305.00 × 284.91
  4. Step 4: Simplify right side
    869.87x = 371,813.71
  5. Step 5: Solve for x
    x = 371,813.71/869.87
  6. Step 6: Final answer
    x = 427.44

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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.