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Finding the Fourth Proportional to 444.84, 613.65 and 297.52

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Solution

The fourth proportional to 444.84, 613.65 and 297.52 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.84 : 613.65 = 297.52 : x
  2. Step 2: Convert to fraction form
    444.84/613.65 = 297.52/x
  3. Step 3: Cross multiply
    444.84x = 613.65 × 297.52
  4. Step 4: Simplify right side
    444.84x = 182,572.73
  5. Step 5: Solve for x
    x = 182,572.73/444.84
  6. Step 6: Final answer
    x = 410.43

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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.