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Finding the Fourth Proportional to 415.56, 620.28 and 354.24

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Solution

The fourth proportional to 415.56, 620.28 and 354.24 is: 528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 620.28 = 354.24 : x
  2. Step 2: Convert to fraction form
    415.56/620.28 = 354.24/x
  3. Step 3: Cross multiply
    415.56x = 620.28 × 354.24
  4. Step 4: Simplify right side
    415.56x = 219,727.99
  5. Step 5: Solve for x
    x = 219,727.99/415.56
  6. Step 6: Final answer
    x = 528.75

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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.