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Finding the Fourth Proportional to 588.48, 812.03 and 411.83

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Solution

The fourth proportional to 588.48, 812.03 and 411.83 is: 568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 812.03 = 411.83 : x
  2. Step 2: Convert to fraction form
    588.48/812.03 = 411.83/x
  3. Step 3: Cross multiply
    588.48x = 812.03 × 411.83
  4. Step 4: Simplify right side
    588.48x = 334,412.20
  5. Step 5: Solve for x
    x = 334,412.20/588.48
  6. Step 6: Final answer
    x = 568.26

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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.