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Finding the Fourth Proportional to 468.69, 699.36 and 414.01

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Solution

The fourth proportional to 468.69, 699.36 and 414.01 is: 617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 699.36 = 414.01 : x
  2. Step 2: Convert to fraction form
    468.69/699.36 = 414.01/x
  3. Step 3: Cross multiply
    468.69x = 699.36 × 414.01
  4. Step 4: Simplify right side
    468.69x = 289,542.03
  5. Step 5: Solve for x
    x = 289,542.03/468.69
  6. Step 6: Final answer
    x = 617.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.