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Finding the Fourth Proportional to 444.08, 613.32 and 296.72

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Solution

The fourth proportional to 444.08, 613.32 and 296.72 is: 409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.08 : 613.32 = 296.72 : x
  2. Step 2: Convert to fraction form
    444.08/613.32 = 296.72/x
  3. Step 3: Cross multiply
    444.08x = 613.32 × 296.72
  4. Step 4: Simplify right side
    444.08x = 181,984.31
  5. Step 5: Solve for x
    x = 181,984.31/444.08
  6. Step 6: Final answer
    x = 409.80

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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.