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Finding the Fourth Proportional to 624.13, 936.52 and 277.80

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Solution

The fourth proportional to 624.13, 936.52 and 277.80 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.13 : 936.52 = 277.80 : x
  2. Step 2: Convert to fraction form
    624.13/936.52 = 277.80/x
  3. Step 3: Cross multiply
    624.13x = 936.52 × 277.80
  4. Step 4: Simplify right side
    624.13x = 260,165.95
  5. Step 5: Solve for x
    x = 260,165.95/624.13
  6. Step 6: Final answer
    x = 416.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.