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Finding the Fourth Proportional to 689.55, 951.42 and 427.44

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Solution

The fourth proportional to 689.55, 951.42 and 427.44 is: 589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.55 : 951.42 = 427.44 : x
  2. Step 2: Convert to fraction form
    689.55/951.42 = 427.44/x
  3. Step 3: Cross multiply
    689.55x = 951.42 × 427.44
  4. Step 4: Simplify right side
    689.55x = 406,674.96
  5. Step 5: Solve for x
    x = 406,674.96/689.55
  6. Step 6: Final answer
    x = 589.77

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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.