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Finding the Fourth Proportional to 417.01, 624.82 and 270.75

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Solution

The fourth proportional to 417.01, 624.82 and 270.75 is: 405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.01 : 624.82 = 270.75 : x
  2. Step 2: Convert to fraction form
    417.01/624.82 = 270.75/x
  3. Step 3: Cross multiply
    417.01x = 624.82 × 270.75
  4. Step 4: Simplify right side
    417.01x = 169,170.02
  5. Step 5: Solve for x
    x = 169,170.02/417.01
  6. Step 6: Final answer
    x = 405.68

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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.