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Finding the Fourth Proportional to 561.42, 774.57 and 340.38

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Solution

The fourth proportional to 561.42, 774.57 and 340.38 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 774.57 = 340.38 : x
  2. Step 2: Convert to fraction form
    561.42/774.57 = 340.38/x
  3. Step 3: Cross multiply
    561.42x = 774.57 × 340.38
  4. Step 4: Simplify right side
    561.42x = 263,648.14
  5. Step 5: Solve for x
    x = 263,648.14/561.42
  6. Step 6: Final answer
    x = 469.61

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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.