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Finding the Fourth Proportional to 497.60, 686.76 and 301.12

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Solution

The fourth proportional to 497.60, 686.76 and 301.12 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 686.76 = 301.12 : x
  2. Step 2: Convert to fraction form
    497.60/686.76 = 301.12/x
  3. Step 3: Cross multiply
    497.60x = 686.76 × 301.12
  4. Step 4: Simplify right side
    497.60x = 206,794.33
  5. Step 5: Solve for x
    x = 206,794.33/497.60
  6. Step 6: Final answer
    x = 415.58

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