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Finding the Fourth Proportional to 566.37, 781.91 and 380.17

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Solution

The fourth proportional to 566.37, 781.91 and 380.17 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 781.91 = 380.17 : x
  2. Step 2: Convert to fraction form
    566.37/781.91 = 380.17/x
  3. Step 3: Cross multiply
    566.37x = 781.91 × 380.17
  4. Step 4: Simplify right side
    566.37x = 297,258.72
  5. Step 5: Solve for x
    x = 297,258.72/566.37
  6. Step 6: Final answer
    x = 524.85

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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.