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Finding the Fourth Proportional to 466.17, 698.14 and 404.97

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Solution

The fourth proportional to 466.17, 698.14 and 404.97 is: 606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 698.14 = 404.97 : x
  2. Step 2: Convert to fraction form
    466.17/698.14 = 404.97/x
  3. Step 3: Cross multiply
    466.17x = 698.14 × 404.97
  4. Step 4: Simplify right side
    466.17x = 282,725.76
  5. Step 5: Solve for x
    x = 282,725.76/466.17
  6. Step 6: Final answer
    x = 606.49

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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.