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Finding the Fourth Proportional to 497.93, 687.24 and 298.81

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Solution

The fourth proportional to 497.93, 687.24 and 298.81 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.93 : 687.24 = 298.81 : x
  2. Step 2: Convert to fraction form
    497.93/687.24 = 298.81/x
  3. Step 3: Cross multiply
    497.93x = 687.24 × 298.81
  4. Step 4: Simplify right side
    497.93x = 205,350.75
  5. Step 5: Solve for x
    x = 205,350.75/497.93
  6. Step 6: Final answer
    x = 412.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.