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Finding the Fourth Proportional to 417.11, 624.52 and 378.67

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Solution

The fourth proportional to 417.11, 624.52 and 378.67 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 624.52 = 378.67 : x
  2. Step 2: Convert to fraction form
    417.11/624.52 = 378.67/x
  3. Step 3: Cross multiply
    417.11x = 624.52 × 378.67
  4. Step 4: Simplify right side
    417.11x = 236,485.10
  5. Step 5: Solve for x
    x = 236,485.10/417.11
  6. Step 6: Final answer
    x = 566.96

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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.