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Finding the Fourth Proportional to 497.40, 686.62 and 335.74

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Solution

The fourth proportional to 497.40, 686.62 and 335.74 is: 463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 686.62 = 335.74 : x
  2. Step 2: Convert to fraction form
    497.40/686.62 = 335.74/x
  3. Step 3: Cross multiply
    497.40x = 686.62 × 335.74
  4. Step 4: Simplify right side
    497.40x = 230,523.98
  5. Step 5: Solve for x
    x = 230,523.98/497.40
  6. Step 6: Final answer
    x = 463.46

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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.