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Finding the Fourth Proportional to 662.72, 913.92 and 466.16

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Solution

The fourth proportional to 662.72, 913.92 and 466.16 is: 642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.72 : 913.92 = 466.16 : x
  2. Step 2: Convert to fraction form
    662.72/913.92 = 466.16/x
  3. Step 3: Cross multiply
    662.72x = 913.92 × 466.16
  4. Step 4: Simplify right side
    662.72x = 426,032.95
  5. Step 5: Solve for x
    x = 426,032.95/662.72
  6. Step 6: Final answer
    x = 642.86

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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.