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Finding the Fourth Proportional to 588.74, 812.22 and 411.65

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Solution

The fourth proportional to 588.74, 812.22 and 411.65 is: 567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 812.22 = 411.65 : x
  2. Step 2: Convert to fraction form
    588.74/812.22 = 411.65/x
  3. Step 3: Cross multiply
    588.74x = 812.22 × 411.65
  4. Step 4: Simplify right side
    588.74x = 334,350.36
  5. Step 5: Solve for x
    x = 334,350.36/588.74
  6. Step 6: Final answer
    x = 567.91

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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.