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Finding the Fourth Proportional to 566.96, 781.70 and 367.46

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Solution

The fourth proportional to 566.96, 781.70 and 367.46 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 781.70 = 367.46 : x
  2. Step 2: Convert to fraction form
    566.96/781.70 = 367.46/x
  3. Step 3: Cross multiply
    566.96x = 781.70 × 367.46
  4. Step 4: Simplify right side
    566.96x = 287,237.74
  5. Step 5: Solve for x
    x = 287,237.74/566.96
  6. Step 6: Final answer
    x = 506.63

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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.