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Finding the Fourth Proportional to 573.16, 791.24 and 352.16

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Solution

The fourth proportional to 573.16, 791.24 and 352.16 is: 486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.16 : 791.24 = 352.16 : x
  2. Step 2: Convert to fraction form
    573.16/791.24 = 352.16/x
  3. Step 3: Cross multiply
    573.16x = 791.24 × 352.16
  4. Step 4: Simplify right side
    573.16x = 278,643.08
  5. Step 5: Solve for x
    x = 278,643.08/573.16
  6. Step 6: Final answer
    x = 486.15

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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.