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Finding the Fourth Proportional to 873.57, 1,310.34 and 296.43

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Solution

The fourth proportional to 873.57, 1,310.34 and 296.43 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,310.34 = 296.43 : x
  2. Step 2: Convert to fraction form
    873.57/1,310.34 = 296.43/x
  3. Step 3: Cross multiply
    873.57x = 1,310.34 × 296.43
  4. Step 4: Simplify right side
    873.57x = 388,424.09
  5. Step 5: Solve for x
    x = 388,424.09/873.57
  6. Step 6: Final answer
    x = 444.64

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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.