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Finding the Fourth Proportional to 466.72, 695.49 and 453.52

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Solution

The fourth proportional to 466.72, 695.49 and 453.52 is: 675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.72 : 695.49 = 453.52 : x
  2. Step 2: Convert to fraction form
    466.72/695.49 = 453.52/x
  3. Step 3: Cross multiply
    466.72x = 695.49 × 453.52
  4. Step 4: Simplify right side
    466.72x = 315,418.62
  5. Step 5: Solve for x
    x = 315,418.62/466.72
  6. Step 6: Final answer
    x = 675.82

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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.