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Finding the Fourth Proportional to 914.48, 1,371.80 and 298.17

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Solution

The fourth proportional to 914.48, 1,371.80 and 298.17 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.48 : 1,371.80 = 298.17 : x
  2. Step 2: Convert to fraction form
    914.48/1,371.80 = 298.17/x
  3. Step 3: Cross multiply
    914.48x = 1,371.80 × 298.17
  4. Step 4: Simplify right side
    914.48x = 409,029.61
  5. Step 5: Solve for x
    x = 409,029.61/914.48
  6. Step 6: Final answer
    x = 447.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.