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Finding the Fourth Proportional to 297.84, 444.67 and 254.53

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Solution

The fourth proportional to 297.84, 444.67 and 254.53 is: 380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 444.67 = 254.53 : x
  2. Step 2: Convert to fraction form
    297.84/444.67 = 254.53/x
  3. Step 3: Cross multiply
    297.84x = 444.67 × 254.53
  4. Step 4: Simplify right side
    297.84x = 113,180.71
  5. Step 5: Solve for x
    x = 113,180.71/297.84
  6. Step 6: Final answer
    x = 380.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.