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Finding the Fourth Proportional to 623.86, 935.79 and 298.24

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Solution

The fourth proportional to 623.86, 935.79 and 298.24 is: 447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.86 : 935.79 = 298.24 : x
  2. Step 2: Convert to fraction form
    623.86/935.79 = 298.24/x
  3. Step 3: Cross multiply
    623.86x = 935.79 × 298.24
  4. Step 4: Simplify right side
    623.86x = 279,090.01
  5. Step 5: Solve for x
    x = 279,090.01/623.86
  6. Step 6: Final answer
    x = 447.36

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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.