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Finding the Fourth Proportional to 449.64, 677.67 and 424.52

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Solution

The fourth proportional to 449.64, 677.67 and 424.52 is: 639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 677.67 = 424.52 : x
  2. Step 2: Convert to fraction form
    449.64/677.67 = 424.52/x
  3. Step 3: Cross multiply
    449.64x = 677.67 × 424.52
  4. Step 4: Simplify right side
    449.64x = 287,682.14
  5. Step 5: Solve for x
    x = 287,682.14/449.64
  6. Step 6: Final answer
    x = 639.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.