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Finding the Fourth Proportional to 561.42, 774.82 and 340.36

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Solution

The fourth proportional to 561.42, 774.82 and 340.36 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 774.82 = 340.36 : x
  2. Step 2: Convert to fraction form
    561.42/774.82 = 340.36/x
  3. Step 3: Cross multiply
    561.42x = 774.82 × 340.36
  4. Step 4: Simplify right side
    561.42x = 263,717.74
  5. Step 5: Solve for x
    x = 263,717.74/561.42
  6. Step 6: Final answer
    x = 469.74

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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.