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Finding the Fourth Proportional to 416.48, 573.98 and 363.42

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Solution

The fourth proportional to 416.48, 573.98 and 363.42 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 573.98 = 363.42 : x
  2. Step 2: Convert to fraction form
    416.48/573.98 = 363.42/x
  3. Step 3: Cross multiply
    416.48x = 573.98 × 363.42
  4. Step 4: Simplify right side
    416.48x = 208,593.99
  5. Step 5: Solve for x
    x = 208,593.99/416.48
  6. Step 6: Final answer
    x = 500.86

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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.