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Finding the Fourth Proportional to 588.43, 812.04 and 322.86

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Solution

The fourth proportional to 588.43, 812.04 and 322.86 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.43 : 812.04 = 322.86 : x
  2. Step 2: Convert to fraction form
    588.43/812.04 = 322.86/x
  3. Step 3: Cross multiply
    588.43x = 812.04 × 322.86
  4. Step 4: Simplify right side
    588.43x = 262,175.23
  5. Step 5: Solve for x
    x = 262,175.23/588.43
  6. Step 6: Final answer
    x = 445.55

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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.