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Finding the Fourth Proportional to 497.08, 685.91 and 297.86

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Solution

The fourth proportional to 497.08, 685.91 and 297.86 is: 411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.08 : 685.91 = 297.86 : x
  2. Step 2: Convert to fraction form
    497.08/685.91 = 297.86/x
  3. Step 3: Cross multiply
    497.08x = 685.91 × 297.86
  4. Step 4: Simplify right side
    497.08x = 204,305.15
  5. Step 5: Solve for x
    x = 204,305.15/497.08
  6. Step 6: Final answer
    x = 411.01

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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.