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Finding the Fourth Proportional to 444.71, 613.72 and 295.07

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Solution

The fourth proportional to 444.71, 613.72 and 295.07 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.71 : 613.72 = 295.07 : x
  2. Step 2: Convert to fraction form
    444.71/613.72 = 295.07/x
  3. Step 3: Cross multiply
    444.71x = 613.72 × 295.07
  4. Step 4: Simplify right side
    444.71x = 181,087.29
  5. Step 5: Solve for x
    x = 181,087.29/444.71
  6. Step 6: Final answer
    x = 407.21

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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.