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Finding the Fourth Proportional to 561.21, 774.14 and 386.25

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Solution

The fourth proportional to 561.21, 774.14 and 386.25 is: 532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.21 : 774.14 = 386.25 : x
  2. Step 2: Convert to fraction form
    561.21/774.14 = 386.25/x
  3. Step 3: Cross multiply
    561.21x = 774.14 × 386.25
  4. Step 4: Simplify right side
    561.21x = 299,009.64
  5. Step 5: Solve for x
    x = 299,009.64/561.21
  6. Step 6: Final answer
    x = 532.79

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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.