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Finding the Fourth Proportional to 416.30, 574.19 and 363.74

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Solution

The fourth proportional to 416.30, 574.19 and 363.74 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.19 = 363.74 : x
  2. Step 2: Convert to fraction form
    416.30/574.19 = 363.74/x
  3. Step 3: Cross multiply
    416.30x = 574.19 × 363.74
  4. Step 4: Simplify right side
    416.30x = 208,851.18
  5. Step 5: Solve for x
    x = 208,851.18/416.30
  6. Step 6: Final answer
    x = 501.69

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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.