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Finding the Fourth Proportional to 625.63, 863.66 and 404.95

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Solution

The fourth proportional to 625.63, 863.66 and 404.95 is: 559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.63 : 863.66 = 404.95 : x
  2. Step 2: Convert to fraction form
    625.63/863.66 = 404.95/x
  3. Step 3: Cross multiply
    625.63x = 863.66 × 404.95
  4. Step 4: Simplify right side
    625.63x = 349,739.12
  5. Step 5: Solve for x
    x = 349,739.12/625.63
  6. Step 6: Final answer
    x = 559.02

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