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Finding the Fourth Proportional to 454.01, 626.52 and 298.75

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Solution

The fourth proportional to 454.01, 626.52 and 298.75 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.01 : 626.52 = 298.75 : x
  2. Step 2: Convert to fraction form
    454.01/626.52 = 298.75/x
  3. Step 3: Cross multiply
    454.01x = 626.52 × 298.75
  4. Step 4: Simplify right side
    454.01x = 187,172.85
  5. Step 5: Solve for x
    x = 187,172.85/454.01
  6. Step 6: Final answer
    x = 412.27

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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.