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Finding the Fourth Proportional to 588.60, 812.30 and 326.68

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Solution

The fourth proportional to 588.60, 812.30 and 326.68 is: 450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 812.30 = 326.68 : x
  2. Step 2: Convert to fraction form
    588.60/812.30 = 326.68/x
  3. Step 3: Cross multiply
    588.60x = 812.30 × 326.68
  4. Step 4: Simplify right side
    588.60x = 265,362.16
  5. Step 5: Solve for x
    x = 265,362.16/588.60
  6. Step 6: Final answer
    x = 450.84

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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.