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Finding the Fourth Proportional to 873.36, 1,309.77 and 288.23

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Solution

The fourth proportional to 873.36, 1,309.77 and 288.23 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,309.77 = 288.23 : x
  2. Step 2: Convert to fraction form
    873.36/1,309.77 = 288.23/x
  3. Step 3: Cross multiply
    873.36x = 1,309.77 × 288.23
  4. Step 4: Simplify right side
    873.36x = 377,515.01
  5. Step 5: Solve for x
    x = 377,515.01/873.36
  6. Step 6: Final answer
    x = 432.26

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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.