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Finding the Fourth Proportional to 561.74, 774.81 and 386.78

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Solution

The fourth proportional to 561.74, 774.81 and 386.78 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 774.81 = 386.78 : x
  2. Step 2: Convert to fraction form
    561.74/774.81 = 386.78/x
  3. Step 3: Cross multiply
    561.74x = 774.81 × 386.78
  4. Step 4: Simplify right side
    561.74x = 299,677.14
  5. Step 5: Solve for x
    x = 299,677.14/561.74
  6. Step 6: Final answer
    x = 533.48

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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.