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Finding the Fourth Proportional to 588.91, 812.28 and 402.12

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Solution

The fourth proportional to 588.91, 812.28 and 402.12 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.91 : 812.28 = 402.12 : x
  2. Step 2: Convert to fraction form
    588.91/812.28 = 402.12/x
  3. Step 3: Cross multiply
    588.91x = 812.28 × 402.12
  4. Step 4: Simplify right side
    588.91x = 326,634.03
  5. Step 5: Solve for x
    x = 326,634.03/588.91
  6. Step 6: Final answer
    x = 554.64

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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.