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Finding the Fourth Proportional to 689.31, 1,034.01 and 202.32

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Solution

The fourth proportional to 689.31, 1,034.01 and 202.32 is: 303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 1,034.01 = 202.32 : x
  2. Step 2: Convert to fraction form
    689.31/1,034.01 = 202.32/x
  3. Step 3: Cross multiply
    689.31x = 1,034.01 × 202.32
  4. Step 4: Simplify right side
    689.31x = 209,200.90
  5. Step 5: Solve for x
    x = 209,200.90/689.31
  6. Step 6: Final answer
    x = 303.49

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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.