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Finding the Fourth Proportional to 417.09, 624.83 and 382.67

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Solution

The fourth proportional to 417.09, 624.83 and 382.67 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 624.83 = 382.67 : x
  2. Step 2: Convert to fraction form
    417.09/624.83 = 382.67/x
  3. Step 3: Cross multiply
    417.09x = 624.83 × 382.67
  4. Step 4: Simplify right side
    417.09x = 239,098.66
  5. Step 5: Solve for x
    x = 239,098.66/417.09
  6. Step 6: Final answer
    x = 573.25

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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.