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Finding the Fourth Proportional to 497.86, 687.22 and 415.92

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Solution

The fourth proportional to 497.86, 687.22 and 415.92 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 687.22 = 415.92 : x
  2. Step 2: Convert to fraction form
    497.86/687.22 = 415.92/x
  3. Step 3: Cross multiply
    497.86x = 687.22 × 415.92
  4. Step 4: Simplify right side
    497.86x = 285,828.54
  5. Step 5: Solve for x
    x = 285,828.54/497.86
  6. Step 6: Final answer
    x = 574.11

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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.