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Finding the Fourth Proportional to 588.36, 812.04 and 355.56

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Solution

The fourth proportional to 588.36, 812.04 and 355.56 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 812.04 = 355.56 : x
  2. Step 2: Convert to fraction form
    588.36/812.04 = 355.56/x
  3. Step 3: Cross multiply
    588.36x = 812.04 × 355.56
  4. Step 4: Simplify right side
    588.36x = 288,728.94
  5. Step 5: Solve for x
    x = 288,728.94/588.36
  6. Step 6: Final answer
    x = 490.74

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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.