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Finding the Fourth Proportional to 689.85, 952.31 and 441.50

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Solution

The fourth proportional to 689.85, 952.31 and 441.50 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 952.31 = 441.50 : x
  2. Step 2: Convert to fraction form
    689.85/952.31 = 441.50/x
  3. Step 3: Cross multiply
    689.85x = 952.31 × 441.50
  4. Step 4: Simplify right side
    689.85x = 420,445.04
  5. Step 5: Solve for x
    x = 420,445.04/689.85
  6. Step 6: Final answer
    x = 609.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.