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Finding the Fourth Proportional to 415.68, 620.99 and 297.61

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Solution

The fourth proportional to 415.68, 620.99 and 297.61 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 620.99 = 297.61 : x
  2. Step 2: Convert to fraction form
    415.68/620.99 = 297.61/x
  3. Step 3: Cross multiply
    415.68x = 620.99 × 297.61
  4. Step 4: Simplify right side
    415.68x = 184,810.91
  5. Step 5: Solve for x
    x = 184,810.91/415.68
  6. Step 6: Final answer
    x = 444.60

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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.