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Finding the Fourth Proportional to 561, 774 and 339.84

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Solution

The fourth proportional to 561, 774 and 339.84 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 774 = 339.84 : x
  2. Step 2: Convert to fraction form
    561/774 = 339.84/x
  3. Step 3: Cross multiply
    561x = 774 × 339.84
  4. Step 4: Simplify right side
    561x = 263,036.16
  5. Step 5: Solve for x
    x = 263,036.16/561
  6. Step 6: Final answer
    x = 468.87

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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.