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Finding the Fourth Proportional to 445.19, 614.48 and 297.98

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Solution

The fourth proportional to 445.19, 614.48 and 297.98 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.19 : 614.48 = 297.98 : x
  2. Step 2: Convert to fraction form
    445.19/614.48 = 297.98/x
  3. Step 3: Cross multiply
    445.19x = 614.48 × 297.98
  4. Step 4: Simplify right side
    445.19x = 183,102.75
  5. Step 5: Solve for x
    x = 183,102.75/445.19
  6. Step 6: Final answer
    x = 411.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.