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Finding the Fourth Proportional to 873.16, 1,309.74 and 288.22

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Solution

The fourth proportional to 873.16, 1,309.74 and 288.22 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.16 : 1,309.74 = 288.22 : x
  2. Step 2: Convert to fraction form
    873.16/1,309.74 = 288.22/x
  3. Step 3: Cross multiply
    873.16x = 1,309.74 × 288.22
  4. Step 4: Simplify right side
    873.16x = 377,493.26
  5. Step 5: Solve for x
    x = 377,493.26/873.16
  6. Step 6: Final answer
    x = 432.33

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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.