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Finding the Fourth Proportional to 423.54, 635.70 and 414.24

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Solution

The fourth proportional to 423.54, 635.70 and 414.24 is: 621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 635.70 = 414.24 : x
  2. Step 2: Convert to fraction form
    423.54/635.70 = 414.24/x
  3. Step 3: Cross multiply
    423.54x = 635.70 × 414.24
  4. Step 4: Simplify right side
    423.54x = 263,332.37
  5. Step 5: Solve for x
    x = 263,332.37/423.54
  6. Step 6: Final answer
    x = 621.74

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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.