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Finding the Fourth Proportional to 873.46, 1,310.14 and 296.32

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Solution

The fourth proportional to 873.46, 1,310.14 and 296.32 is: 444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.46 : 1,310.14 = 296.32 : x
  2. Step 2: Convert to fraction form
    873.46/1,310.14 = 296.32/x
  3. Step 3: Cross multiply
    873.46x = 1,310.14 × 296.32
  4. Step 4: Simplify right side
    873.46x = 388,220.68
  5. Step 5: Solve for x
    x = 388,220.68/873.46
  6. Step 6: Final answer
    x = 444.46

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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.