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Finding the Fourth Proportional to 588.78, 812.54 and 326.85

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Solution

The fourth proportional to 588.78, 812.54 and 326.85 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 812.54 = 326.85 : x
  2. Step 2: Convert to fraction form
    588.78/812.54 = 326.85/x
  3. Step 3: Cross multiply
    588.78x = 812.54 × 326.85
  4. Step 4: Simplify right side
    588.78x = 265,574.64
  5. Step 5: Solve for x
    x = 265,574.64/588.78
  6. Step 6: Final answer
    x = 451.06

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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.