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Finding the Fourth Proportional to 561.42, 774.86 and 351.80

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Solution

The fourth proportional to 561.42, 774.86 and 351.80 is: 485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 774.86 = 351.80 : x
  2. Step 2: Convert to fraction form
    561.42/774.86 = 351.80/x
  3. Step 3: Cross multiply
    561.42x = 774.86 × 351.80
  4. Step 4: Simplify right side
    561.42x = 272,595.75
  5. Step 5: Solve for x
    x = 272,595.75/561.42
  6. Step 6: Final answer
    x = 485.55

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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.