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Finding the Fourth Proportional to 588.69, 812.28 and 355.83

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Solution

The fourth proportional to 588.69, 812.28 and 355.83 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 812.28 = 355.83 : x
  2. Step 2: Convert to fraction form
    588.69/812.28 = 355.83/x
  3. Step 3: Cross multiply
    588.69x = 812.28 × 355.83
  4. Step 4: Simplify right side
    588.69x = 289,033.59
  5. Step 5: Solve for x
    x = 289,033.59/588.69
  6. Step 6: Final answer
    x = 490.98

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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.