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Finding the Fourth Proportional to 466.78, 699.21 and 461.02

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Solution

The fourth proportional to 466.78, 699.21 and 461.02 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 699.21 = 461.02 : x
  2. Step 2: Convert to fraction form
    466.78/699.21 = 461.02/x
  3. Step 3: Cross multiply
    466.78x = 699.21 × 461.02
  4. Step 4: Simplify right side
    466.78x = 322,349.79
  5. Step 5: Solve for x
    x = 322,349.79/466.78
  6. Step 6: Final answer
    x = 690.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.