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Finding the Fourth Proportional to 873.80, 1,309.84 and 296.28

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Solution

The fourth proportional to 873.80, 1,309.84 and 296.28 is: 444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,309.84 = 296.28 : x
  2. Step 2: Convert to fraction form
    873.80/1,309.84 = 296.28/x
  3. Step 3: Cross multiply
    873.80x = 1,309.84 × 296.28
  4. Step 4: Simplify right side
    873.80x = 388,079.40
  5. Step 5: Solve for x
    x = 388,079.40/873.80
  6. Step 6: Final answer
    x = 444.13

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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.