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Finding the Fourth Proportional to 363.99, 543.66 and 315.39

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Solution

The fourth proportional to 363.99, 543.66 and 315.39 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.99 : 543.66 = 315.39 : x
  2. Step 2: Convert to fraction form
    363.99/543.66 = 315.39/x
  3. Step 3: Cross multiply
    363.99x = 543.66 × 315.39
  4. Step 4: Simplify right side
    363.99x = 171,462.78
  5. Step 5: Solve for x
    x = 171,462.78/363.99
  6. Step 6: Final answer
    x = 471.07

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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.