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Finding the Fourth Proportional to 497.59, 685.85 and 357.48

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Solution

The fourth proportional to 497.59, 685.85 and 357.48 is: 492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.59 : 685.85 = 357.48 : x
  2. Step 2: Convert to fraction form
    497.59/685.85 = 357.48/x
  3. Step 3: Cross multiply
    497.59x = 685.85 × 357.48
  4. Step 4: Simplify right side
    497.59x = 245,178.55
  5. Step 5: Solve for x
    x = 245,178.55/497.59
  6. Step 6: Final answer
    x = 492.73

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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.