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Finding the Fourth Proportional to 466.02, 699.03 and 414.79

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Solution

The fourth proportional to 466.02, 699.03 and 414.79 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 699.03 = 414.79 : x
  2. Step 2: Convert to fraction form
    466.02/699.03 = 414.79/x
  3. Step 3: Cross multiply
    466.02x = 699.03 × 414.79
  4. Step 4: Simplify right side
    466.02x = 289,948.91
  5. Step 5: Solve for x
    x = 289,948.91/466.02
  6. Step 6: Final answer
    x = 622.18

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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.