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Finding the Fourth Proportional to 573.38, 791.06 and 352.10

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Solution

The fourth proportional to 573.38, 791.06 and 352.10 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.38 : 791.06 = 352.10 : x
  2. Step 2: Convert to fraction form
    573.38/791.06 = 352.10/x
  3. Step 3: Cross multiply
    573.38x = 791.06 × 352.10
  4. Step 4: Simplify right side
    573.38x = 278,526.51
  5. Step 5: Solve for x
    x = 278,526.51/573.38
  6. Step 6: Final answer
    x = 485.77

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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.