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Finding the Fourth Proportional to 469.91, 701.41 and 414.48

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Solution

The fourth proportional to 469.91, 701.41 and 414.48 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.91 : 701.41 = 414.48 : x
  2. Step 2: Convert to fraction form
    469.91/701.41 = 414.48/x
  3. Step 3: Cross multiply
    469.91x = 701.41 × 414.48
  4. Step 4: Simplify right side
    469.91x = 290,723.57
  5. Step 5: Solve for x
    x = 290,723.57/469.91
  6. Step 6: Final answer
    x = 618.69

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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.