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Finding the Fourth Proportional to 649.40, 973.49 and 444.06

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Solution

The fourth proportional to 649.40, 973.49 and 444.06 is: 665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 973.49 = 444.06 : x
  2. Step 2: Convert to fraction form
    649.40/973.49 = 444.06/x
  3. Step 3: Cross multiply
    649.40x = 973.49 × 444.06
  4. Step 4: Simplify right side
    649.40x = 432,285.75
  5. Step 5: Solve for x
    x = 432,285.75/649.40
  6. Step 6: Final answer
    x = 665.67

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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.