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Finding the Fourth Proportional to 588.57, 812.24 and 326.58

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Solution

The fourth proportional to 588.57, 812.24 and 326.58 is: 450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 812.24 = 326.58 : x
  2. Step 2: Convert to fraction form
    588.57/812.24 = 326.58/x
  3. Step 3: Cross multiply
    588.57x = 812.24 × 326.58
  4. Step 4: Simplify right side
    588.57x = 265,261.34
  5. Step 5: Solve for x
    x = 265,261.34/588.57
  6. Step 6: Final answer
    x = 450.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.