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Finding the Fourth Proportional to 623.46, 935.10 and 363.36

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Solution

The fourth proportional to 623.46, 935.10 and 363.36 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 935.10 = 363.36 : x
  2. Step 2: Convert to fraction form
    623.46/935.10 = 363.36/x
  3. Step 3: Cross multiply
    623.46x = 935.10 × 363.36
  4. Step 4: Simplify right side
    623.46x = 339,777.94
  5. Step 5: Solve for x
    x = 339,777.94/623.46
  6. Step 6: Final answer
    x = 544.99

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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.