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Finding the Fourth Proportional to 624.74, 937.47 and 365.22

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Solution

The fourth proportional to 624.74, 937.47 and 365.22 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.74 : 937.47 = 365.22 : x
  2. Step 2: Convert to fraction form
    624.74/937.47 = 365.22/x
  3. Step 3: Cross multiply
    624.74x = 937.47 × 365.22
  4. Step 4: Simplify right side
    624.74x = 342,382.79
  5. Step 5: Solve for x
    x = 342,382.79/624.74
  6. Step 6: Final answer
    x = 548.04

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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.