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Finding the Fourth Proportional to 363.54, 501.09 and 297.93

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Solution

The fourth proportional to 363.54, 501.09 and 297.93 is: 410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.54 : 501.09 = 297.93 : x
  2. Step 2: Convert to fraction form
    363.54/501.09 = 297.93/x
  3. Step 3: Cross multiply
    363.54x = 501.09 × 297.93
  4. Step 4: Simplify right side
    363.54x = 149,289.74
  5. Step 5: Solve for x
    x = 149,289.74/363.54
  6. Step 6: Final answer
    x = 410.66

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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.