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Finding the Fourth Proportional to 566.06, 781.41 and 359.06

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Solution

The fourth proportional to 566.06, 781.41 and 359.06 is: 495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 781.41 = 359.06 : x
  2. Step 2: Convert to fraction form
    566.06/781.41 = 359.06/x
  3. Step 3: Cross multiply
    566.06x = 781.41 × 359.06
  4. Step 4: Simplify right side
    566.06x = 280,573.07
  5. Step 5: Solve for x
    x = 280,573.07/566.06
  6. Step 6: Final answer
    x = 495.66

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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.