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Finding the Fourth Proportional to 588.90, 812.68 and 326.92

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Solution

The fourth proportional to 588.90, 812.68 and 326.92 is: 451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 812.68 = 326.92 : x
  2. Step 2: Convert to fraction form
    588.90/812.68 = 326.92/x
  3. Step 3: Cross multiply
    588.90x = 812.68 × 326.92
  4. Step 4: Simplify right side
    588.90x = 265,678.50
  5. Step 5: Solve for x
    x = 265,678.50/588.90
  6. Step 6: Final answer
    x = 451.14

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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.