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Finding the Fourth Proportional to 462.92, 697.62 and 440.96

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Solution

The fourth proportional to 462.92, 697.62 and 440.96 is: 664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 697.62 = 440.96 : x
  2. Step 2: Convert to fraction form
    462.92/697.62 = 440.96/x
  3. Step 3: Cross multiply
    462.92x = 697.62 × 440.96
  4. Step 4: Simplify right side
    462.92x = 307,622.52
  5. Step 5: Solve for x
    x = 307,622.52/462.92
  6. Step 6: Final answer
    x = 664.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.