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Finding the Fourth Proportional to 465.46, 697.38 and 454.12

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Solution

The fourth proportional to 465.46, 697.38 and 454.12 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.46 : 697.38 = 454.12 : x
  2. Step 2: Convert to fraction form
    465.46/697.38 = 454.12/x
  3. Step 3: Cross multiply
    465.46x = 697.38 × 454.12
  4. Step 4: Simplify right side
    465.46x = 316,694.21
  5. Step 5: Solve for x
    x = 316,694.21/465.46
  6. Step 6: Final answer
    x = 680.39

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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.