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Finding the Fourth Proportional to 416.52, 574.43 and 346.47

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Solution

The fourth proportional to 416.52, 574.43 and 346.47 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 574.43 = 346.47 : x
  2. Step 2: Convert to fraction form
    416.52/574.43 = 346.47/x
  3. Step 3: Cross multiply
    416.52x = 574.43 × 346.47
  4. Step 4: Simplify right side
    416.52x = 199,021.03
  5. Step 5: Solve for x
    x = 199,021.03/416.52
  6. Step 6: Final answer
    x = 477.82

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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.