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Finding the Fourth Proportional to 689.23, 1,034.16 and 256.42

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Solution

The fourth proportional to 689.23, 1,034.16 and 256.42 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.23 : 1,034.16 = 256.42 : x
  2. Step 2: Convert to fraction form
    689.23/1,034.16 = 256.42/x
  3. Step 3: Cross multiply
    689.23x = 1,034.16 × 256.42
  4. Step 4: Simplify right side
    689.23x = 265,179.31
  5. Step 5: Solve for x
    x = 265,179.31/689.23
  6. Step 6: Final answer
    x = 384.75

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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.