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Finding the Fourth Proportional to 588.76, 812.48 and 326.76

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Solution

The fourth proportional to 588.76, 812.48 and 326.76 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 812.48 = 326.76 : x
  2. Step 2: Convert to fraction form
    588.76/812.48 = 326.76/x
  3. Step 3: Cross multiply
    588.76x = 812.48 × 326.76
  4. Step 4: Simplify right side
    588.76x = 265,485.96
  5. Step 5: Solve for x
    x = 265,485.96/588.76
  6. Step 6: Final answer
    x = 450.92

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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.