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Finding the Fourth Proportional to 624.70, 937.02 and 259.24

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Solution

The fourth proportional to 624.70, 937.02 and 259.24 is: 388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 937.02 = 259.24 : x
  2. Step 2: Convert to fraction form
    624.70/937.02 = 259.24/x
  3. Step 3: Cross multiply
    624.70x = 937.02 × 259.24
  4. Step 4: Simplify right side
    624.70x = 242,913.06
  5. Step 5: Solve for x
    x = 242,913.06/624.70
  6. Step 6: Final answer
    x = 388.85

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