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Finding the Fourth Proportional to 699, 964.62 and 466.68

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Solution

The fourth proportional to 699, 964.62 and 466.68 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 964.62 = 466.68 : x
  2. Step 2: Convert to fraction form
    699/964.62 = 466.68/x
  3. Step 3: Cross multiply
    699x = 964.62 × 466.68
  4. Step 4: Simplify right side
    699x = 450,168.86
  5. Step 5: Solve for x
    x = 450,168.86/699
  6. Step 6: Final answer
    x = 644.02

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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.