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Finding the Fourth Proportional to 561.98, 775.31 and 340.85

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Solution

The fourth proportional to 561.98, 775.31 and 340.85 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.98 : 775.31 = 340.85 : x
  2. Step 2: Convert to fraction form
    561.98/775.31 = 340.85/x
  3. Step 3: Cross multiply
    561.98x = 775.31 × 340.85
  4. Step 4: Simplify right side
    561.98x = 264,261.39
  5. Step 5: Solve for x
    x = 264,261.39/561.98
  6. Step 6: Final answer
    x = 470.24

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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.