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Finding the Fourth Proportional to 454.04, 626.74 and 414.42

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Solution

The fourth proportional to 454.04, 626.74 and 414.42 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.04 : 626.74 = 414.42 : x
  2. Step 2: Convert to fraction form
    454.04/626.74 = 414.42/x
  3. Step 3: Cross multiply
    454.04x = 626.74 × 414.42
  4. Step 4: Simplify right side
    454.04x = 259,730.20
  5. Step 5: Solve for x
    x = 259,730.20/454.04
  6. Step 6: Final answer
    x = 572.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.