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Finding the Fourth Proportional to 588.66, 812.29 and 326.67

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Solution

The fourth proportional to 588.66, 812.29 and 326.67 is: 450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 812.29 = 326.67 : x
  2. Step 2: Convert to fraction form
    588.66/812.29 = 326.67/x
  3. Step 3: Cross multiply
    588.66x = 812.29 × 326.67
  4. Step 4: Simplify right side
    588.66x = 265,350.77
  5. Step 5: Solve for x
    x = 265,350.77/588.66
  6. Step 6: Final answer
    x = 450.77

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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.