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Finding the Fourth Proportional to 417.14, 624.49 and 263.24

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Solution

The fourth proportional to 417.14, 624.49 and 263.24 is: 394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 624.49 = 263.24 : x
  2. Step 2: Convert to fraction form
    417.14/624.49 = 263.24/x
  3. Step 3: Cross multiply
    417.14x = 624.49 × 263.24
  4. Step 4: Simplify right side
    417.14x = 164,390.75
  5. Step 5: Solve for x
    x = 164,390.75/417.14
  6. Step 6: Final answer
    x = 394.09

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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.