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Finding the Fourth Proportional to 445.76, 669.48 and 337.28

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Solution

The fourth proportional to 445.76, 669.48 and 337.28 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 669.48 = 337.28 : x
  2. Step 2: Convert to fraction form
    445.76/669.48 = 337.28/x
  3. Step 3: Cross multiply
    445.76x = 669.48 × 337.28
  4. Step 4: Simplify right side
    445.76x = 225,802.21
  5. Step 5: Solve for x
    x = 225,802.21/445.76
  6. Step 6: Final answer
    x = 506.56

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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.