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Finding the Fourth Proportional to 898.36, 1,346.82 and 343.04

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Solution

The fourth proportional to 898.36, 1,346.82 and 343.04 is: 514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.36 : 1,346.82 = 343.04 : x
  2. Step 2: Convert to fraction form
    898.36/1,346.82 = 343.04/x
  3. Step 3: Cross multiply
    898.36x = 1,346.82 × 343.04
  4. Step 4: Simplify right side
    898.36x = 462,013.13
  5. Step 5: Solve for x
    x = 462,013.13/898.36
  6. Step 6: Final answer
    x = 514.29

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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.