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Finding the Fourth Proportional to 497.84, 686.54 and 331.76

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Solution

The fourth proportional to 497.84, 686.54 and 331.76 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 686.54 = 331.76 : x
  2. Step 2: Convert to fraction form
    497.84/686.54 = 331.76/x
  3. Step 3: Cross multiply
    497.84x = 686.54 × 331.76
  4. Step 4: Simplify right side
    497.84x = 227,766.51
  5. Step 5: Solve for x
    x = 227,766.51/497.84
  6. Step 6: Final answer
    x = 457.51

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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.