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Finding the Fourth Proportional to 588.96, 812.68 and 327

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Solution

The fourth proportional to 588.96, 812.68 and 327 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812.68 = 327 : x
  2. Step 2: Convert to fraction form
    588.96/812.68 = 327/x
  3. Step 3: Cross multiply
    588.96x = 812.68 × 327
  4. Step 4: Simplify right side
    588.96x = 265,746.36
  5. Step 5: Solve for x
    x = 265,746.36/588.96
  6. Step 6: Final answer
    x = 451.21

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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.