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Finding the Fourth Proportional to 449.57, 669.71 and 435.97

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Solution

The fourth proportional to 449.57, 669.71 and 435.97 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.57 : 669.71 = 435.97 : x
  2. Step 2: Convert to fraction form
    449.57/669.71 = 435.97/x
  3. Step 3: Cross multiply
    449.57x = 669.71 × 435.97
  4. Step 4: Simplify right side
    449.57x = 291,975.40
  5. Step 5: Solve for x
    x = 291,975.40/449.57
  6. Step 6: Final answer
    x = 649.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.