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Finding the Fourth Proportional to 699.41, 964.66 and 462.94

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Solution

The fourth proportional to 699.41, 964.66 and 462.94 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.41 : 964.66 = 462.94 : x
  2. Step 2: Convert to fraction form
    699.41/964.66 = 462.94/x
  3. Step 3: Cross multiply
    699.41x = 964.66 × 462.94
  4. Step 4: Simplify right side
    699.41x = 446,579.70
  5. Step 5: Solve for x
    x = 446,579.70/699.41
  6. Step 6: Final answer
    x = 638.51

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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.