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Finding the Fourth Proportional to 566.66, 781.75 and 426.94

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Solution

The fourth proportional to 566.66, 781.75 and 426.94 is: 588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.66 : 781.75 = 426.94 : x
  2. Step 2: Convert to fraction form
    566.66/781.75 = 426.94/x
  3. Step 3: Cross multiply
    566.66x = 781.75 × 426.94
  4. Step 4: Simplify right side
    566.66x = 333,758.92
  5. Step 5: Solve for x
    x = 333,758.92/566.66
  6. Step 6: Final answer
    x = 588.99

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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.