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Finding the Fourth Proportional to 566.49, 850.14 and 371.49

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Solution

The fourth proportional to 566.49, 850.14 and 371.49 is: 557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 850.14 = 371.49 : x
  2. Step 2: Convert to fraction form
    566.49/850.14 = 371.49/x
  3. Step 3: Cross multiply
    566.49x = 850.14 × 371.49
  4. Step 4: Simplify right side
    566.49x = 315,818.51
  5. Step 5: Solve for x
    x = 315,818.51/566.49
  6. Step 6: Final answer
    x = 557.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.