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Finding the Fourth Proportional to 361.60, 539.76 and 337.28

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Solution

The fourth proportional to 361.60, 539.76 and 337.28 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 539.76 = 337.28 : x
  2. Step 2: Convert to fraction form
    361.60/539.76 = 337.28/x
  3. Step 3: Cross multiply
    361.60x = 539.76 × 337.28
  4. Step 4: Simplify right side
    361.60x = 182,050.25
  5. Step 5: Solve for x
    x = 182,050.25/361.60
  6. Step 6: Final answer
    x = 503.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.