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Finding the Fourth Proportional to 523.70, 784.20 and 414.80

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Solution

The fourth proportional to 523.70, 784.20 and 414.80 is: 621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 784.20 = 414.80 : x
  2. Step 2: Convert to fraction form
    523.70/784.20 = 414.80/x
  3. Step 3: Cross multiply
    523.70x = 784.20 × 414.80
  4. Step 4: Simplify right side
    523.70x = 325,286.16
  5. Step 5: Solve for x
    x = 325,286.16/523.70
  6. Step 6: Final answer
    x = 621.13

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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.