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Finding the Fourth Proportional to 623.82, 935.44 and 363.94

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Solution

The fourth proportional to 623.82, 935.44 and 363.94 is: 545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.82 : 935.44 = 363.94 : x
  2. Step 2: Convert to fraction form
    623.82/935.44 = 363.94/x
  3. Step 3: Cross multiply
    623.82x = 935.44 × 363.94
  4. Step 4: Simplify right side
    623.82x = 340,444.03
  5. Step 5: Solve for x
    x = 340,444.03/623.82
  6. Step 6: Final answer
    x = 545.74

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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.