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Finding the Fourth Proportional to 617.70, 926.50 and 252.46

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Solution

The fourth proportional to 617.70, 926.50 and 252.46 is: 378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 926.50 = 252.46 : x
  2. Step 2: Convert to fraction form
    617.70/926.50 = 252.46/x
  3. Step 3: Cross multiply
    617.70x = 926.50 × 252.46
  4. Step 4: Simplify right side
    617.70x = 233,904.19
  5. Step 5: Solve for x
    x = 233,904.19/617.70
  6. Step 6: Final answer
    x = 378.67

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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.