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Finding the Fourth Proportional to 624.95, 862.52 and 363.11

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Solution

The fourth proportional to 624.95, 862.52 and 363.11 is: 501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.95 : 862.52 = 363.11 : x
  2. Step 2: Convert to fraction form
    624.95/862.52 = 363.11/x
  3. Step 3: Cross multiply
    624.95x = 862.52 × 363.11
  4. Step 4: Simplify right side
    624.95x = 313,183.51
  5. Step 5: Solve for x
    x = 313,183.51/624.95
  6. Step 6: Final answer
    x = 501.14

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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.