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Finding the Fourth Proportional to 699.48, 964.62 and 466.20

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Solution

The fourth proportional to 699.48, 964.62 and 466.20 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 964.62 = 466.20 : x
  2. Step 2: Convert to fraction form
    699.48/964.62 = 466.20/x
  3. Step 3: Cross multiply
    699.48x = 964.62 × 466.20
  4. Step 4: Simplify right side
    699.48x = 449,705.84
  5. Step 5: Solve for x
    x = 449,705.84/699.48
  6. Step 6: Final answer
    x = 642.91

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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.