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Finding the Fourth Proportional to 561.53, 774.97 and 340.54

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Solution

The fourth proportional to 561.53, 774.97 and 340.54 is: 469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 774.97 = 340.54 : x
  2. Step 2: Convert to fraction form
    561.53/774.97 = 340.54/x
  3. Step 3: Cross multiply
    561.53x = 774.97 × 340.54
  4. Step 4: Simplify right side
    561.53x = 263,905.50
  5. Step 5: Solve for x
    x = 263,905.50/561.53
  6. Step 6: Final answer
    x = 469.97

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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.