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Finding the Fourth Proportional to 689.73, 951.53 and 427.70

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Solution

The fourth proportional to 689.73, 951.53 and 427.70 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.73 : 951.53 = 427.70 : x
  2. Step 2: Convert to fraction form
    689.73/951.53 = 427.70/x
  3. Step 3: Cross multiply
    689.73x = 951.53 × 427.70
  4. Step 4: Simplify right side
    689.73x = 406,962.48
  5. Step 5: Solve for x
    x = 406,962.48/689.73
  6. Step 6: Final answer
    x = 590.03

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