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Finding the Fourth Proportional to 449.85, 670.13 and 436.25

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Solution

The fourth proportional to 449.85, 670.13 and 436.25 is: 649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.85 : 670.13 = 436.25 : x
  2. Step 2: Convert to fraction form
    449.85/670.13 = 436.25/x
  3. Step 3: Cross multiply
    449.85x = 670.13 × 436.25
  4. Step 4: Simplify right side
    449.85x = 292,346.57
  5. Step 5: Solve for x
    x = 292,346.57/449.85
  6. Step 6: Final answer
    x = 649.87

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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.