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Finding the Fourth Proportional to 416.04, 575.22 and 364.15

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Solution

The fourth proportional to 416.04, 575.22 and 364.15 is: 503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 575.22 = 364.15 : x
  2. Step 2: Convert to fraction form
    416.04/575.22 = 364.15/x
  3. Step 3: Cross multiply
    416.04x = 575.22 × 364.15
  4. Step 4: Simplify right side
    416.04x = 209,466.36
  5. Step 5: Solve for x
    x = 209,466.36/416.04
  6. Step 6: Final answer
    x = 503.48

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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.