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Finding the Fourth Proportional to 561.75, 775.22 and 340.66

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Solution

The fourth proportional to 561.75, 775.22 and 340.66 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 775.22 = 340.66 : x
  2. Step 2: Convert to fraction form
    561.75/775.22 = 340.66/x
  3. Step 3: Cross multiply
    561.75x = 775.22 × 340.66
  4. Step 4: Simplify right side
    561.75x = 264,083.27
  5. Step 5: Solve for x
    x = 264,083.27/561.75
  6. Step 6: Final answer
    x = 470.11

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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.