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Finding the Fourth Proportional to 566.76, 781.86 and 359.40

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Solution

The fourth proportional to 566.76, 781.86 and 359.40 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 781.86 = 359.40 : x
  2. Step 2: Convert to fraction form
    566.76/781.86 = 359.40/x
  3. Step 3: Cross multiply
    566.76x = 781.86 × 359.40
  4. Step 4: Simplify right side
    566.76x = 281,000.48
  5. Step 5: Solve for x
    x = 281,000.48/566.76
  6. Step 6: Final answer
    x = 495.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.