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Finding the Fourth Proportional to 497.53, 685.80 and 379.12

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Solution

The fourth proportional to 497.53, 685.80 and 379.12 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 685.80 = 379.12 : x
  2. Step 2: Convert to fraction form
    497.53/685.80 = 379.12/x
  3. Step 3: Cross multiply
    497.53x = 685.80 × 379.12
  4. Step 4: Simplify right side
    497.53x = 260,003.16
  5. Step 5: Solve for x
    x = 260,003.16/497.53
  6. Step 6: Final answer
    x = 522.59

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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.