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Finding the Fourth Proportional to 415.53, 621.93 and 337.62

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Solution

The fourth proportional to 415.53, 621.93 and 337.62 is: 505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 621.93 = 337.62 : x
  2. Step 2: Convert to fraction form
    415.53/621.93 = 337.62/x
  3. Step 3: Cross multiply
    415.53x = 621.93 × 337.62
  4. Step 4: Simplify right side
    415.53x = 209,974.21
  5. Step 5: Solve for x
    x = 209,974.21/415.53
  6. Step 6: Final answer
    x = 505.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.