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Finding the Fourth Proportional to 689.40, 951.42 and 427.50

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Solution

The fourth proportional to 689.40, 951.42 and 427.50 is: 589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 951.42 = 427.50 : x
  2. Step 2: Convert to fraction form
    689.40/951.42 = 427.50/x
  3. Step 3: Cross multiply
    689.40x = 951.42 × 427.50
  4. Step 4: Simplify right side
    689.40x = 406,732.05
  5. Step 5: Solve for x
    x = 406,732.05/689.40
  6. Step 6: Final answer
    x = 589.98

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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.