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Finding the Fourth Proportional to 454.17, 677.31 and 395.85

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Solution

The fourth proportional to 454.17, 677.31 and 395.85 is: 590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.17 : 677.31 = 395.85 : x
  2. Step 2: Convert to fraction form
    454.17/677.31 = 395.85/x
  3. Step 3: Cross multiply
    454.17x = 677.31 × 395.85
  4. Step 4: Simplify right side
    454.17x = 268,113.16
  5. Step 5: Solve for x
    x = 268,113.16/454.17
  6. Step 6: Final answer
    x = 590.34

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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.