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Finding the Fourth Proportional to 699.70, 964.46 and 475.57

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Solution

The fourth proportional to 699.70, 964.46 and 475.57 is: 655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.70 : 964.46 = 475.57 : x
  2. Step 2: Convert to fraction form
    699.70/964.46 = 475.57/x
  3. Step 3: Cross multiply
    699.70x = 964.46 × 475.57
  4. Step 4: Simplify right side
    699.70x = 458,667.02
  5. Step 5: Solve for x
    x = 458,667.02/699.70
  6. Step 6: Final answer
    x = 655.52

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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.