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Finding the Fourth Proportional to 588.95, 812.97 and 505.73

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Solution

The fourth proportional to 588.95, 812.97 and 505.73 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.95 : 812.97 = 505.73 : x
  2. Step 2: Convert to fraction form
    588.95/812.97 = 505.73/x
  3. Step 3: Cross multiply
    588.95x = 812.97 × 505.73
  4. Step 4: Simplify right side
    588.95x = 411,141.15
  5. Step 5: Solve for x
    x = 411,141.15/588.95
  6. Step 6: Final answer
    x = 698.09

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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.