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Finding the Fourth Proportional to 573.11, 790.91 and 340.25

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Solution

The fourth proportional to 573.11, 790.91 and 340.25 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.11 : 790.91 = 340.25 : x
  2. Step 2: Convert to fraction form
    573.11/790.91 = 340.25/x
  3. Step 3: Cross multiply
    573.11x = 790.91 × 340.25
  4. Step 4: Simplify right side
    573.11x = 269,105.43
  5. Step 5: Solve for x
    x = 269,105.43/573.11
  6. Step 6: Final answer
    x = 469.55

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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.