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Finding the Fourth Proportional to 416.16, 573.04 and 328.80

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Solution

The fourth proportional to 416.16, 573.04 and 328.80 is: 452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 573.04 = 328.80 : x
  2. Step 2: Convert to fraction form
    416.16/573.04 = 328.80/x
  3. Step 3: Cross multiply
    416.16x = 573.04 × 328.80
  4. Step 4: Simplify right side
    416.16x = 188,415.55
  5. Step 5: Solve for x
    x = 188,415.55/416.16
  6. Step 6: Final answer
    x = 452.75

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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.