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Finding the Fourth Proportional to 454.98, 677.63 and 449.34

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Solution

The fourth proportional to 454.98, 677.63 and 449.34 is: 669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.98 : 677.63 = 449.34 : x
  2. Step 2: Convert to fraction form
    454.98/677.63 = 449.34/x
  3. Step 3: Cross multiply
    454.98x = 677.63 × 449.34
  4. Step 4: Simplify right side
    454.98x = 304,484.02
  5. Step 5: Solve for x
    x = 304,484.02/454.98
  6. Step 6: Final answer
    x = 669.23

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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.