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Finding the Fourth Proportional to 497.78, 686.98 and 298.56

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Solution

The fourth proportional to 497.78, 686.98 and 298.56 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.78 : 686.98 = 298.56 : x
  2. Step 2: Convert to fraction form
    497.78/686.98 = 298.56/x
  3. Step 3: Cross multiply
    497.78x = 686.98 × 298.56
  4. Step 4: Simplify right side
    497.78x = 205,104.75
  5. Step 5: Solve for x
    x = 205,104.75/497.78
  6. Step 6: Final answer
    x = 412.04

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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.