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Finding the Fourth Proportional to 497.16, 686.08 and 287.34

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Solution

The fourth proportional to 497.16, 686.08 and 287.34 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 686.08 = 287.34 : x
  2. Step 2: Convert to fraction form
    497.16/686.08 = 287.34/x
  3. Step 3: Cross multiply
    497.16x = 686.08 × 287.34
  4. Step 4: Simplify right side
    497.16x = 197,138.23
  5. Step 5: Solve for x
    x = 197,138.23/497.16
  6. Step 6: Final answer
    x = 396.53

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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.