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Finding the Fourth Proportional to 573.65, 791.59 and 340.77

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Solution

The fourth proportional to 573.65, 791.59 and 340.77 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.65 : 791.59 = 340.77 : x
  2. Step 2: Convert to fraction form
    573.65/791.59 = 340.77/x
  3. Step 3: Cross multiply
    573.65x = 791.59 × 340.77
  4. Step 4: Simplify right side
    573.65x = 269,750.12
  5. Step 5: Solve for x
    x = 269,750.12/573.65
  6. Step 6: Final answer
    x = 470.23

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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.