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Finding the Fourth Proportional to 466.74, 696.42 and 420.72

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Solution

The fourth proportional to 466.74, 696.42 and 420.72 is: 627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 696.42 = 420.72 : x
  2. Step 2: Convert to fraction form
    466.74/696.42 = 420.72/x
  3. Step 3: Cross multiply
    466.74x = 696.42 × 420.72
  4. Step 4: Simplify right side
    466.74x = 292,997.82
  5. Step 5: Solve for x
    x = 292,997.82/466.74
  6. Step 6: Final answer
    x = 627.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.