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Finding the Fourth Proportional to 648.14, 972.03 and 442.67

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Solution

The fourth proportional to 648.14, 972.03 and 442.67 is: 663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 972.03 = 442.67 : x
  2. Step 2: Convert to fraction form
    648.14/972.03 = 442.67/x
  3. Step 3: Cross multiply
    648.14x = 972.03 × 442.67
  4. Step 4: Simplify right side
    648.14x = 430,288.52
  5. Step 5: Solve for x
    x = 430,288.52/648.14
  6. Step 6: Final answer
    x = 663.88

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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.