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Finding the Fourth Proportional to 466.24, 700.44 and 427.72

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Solution

The fourth proportional to 466.24, 700.44 and 427.72 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 700.44 = 427.72 : x
  2. Step 2: Convert to fraction form
    466.24/700.44 = 427.72/x
  3. Step 3: Cross multiply
    466.24x = 700.44 × 427.72
  4. Step 4: Simplify right side
    466.24x = 299,592.20
  5. Step 5: Solve for x
    x = 299,592.20/466.24
  6. Step 6: Final answer
    x = 642.57

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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.