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Finding the Fourth Proportional to 497.58, 686.58 and 287.66

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Solution

The fourth proportional to 497.58, 686.58 and 287.66 is: 396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 686.58 = 287.66 : x
  2. Step 2: Convert to fraction form
    497.58/686.58 = 287.66/x
  3. Step 3: Cross multiply
    497.58x = 686.58 × 287.66
  4. Step 4: Simplify right side
    497.58x = 197,498.17
  5. Step 5: Solve for x
    x = 197,498.17/497.58
  6. Step 6: Final answer
    x = 396.92

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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.