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Finding the Fourth Proportional to 588.57, 812.74 and 367.90

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Solution

The fourth proportional to 588.57, 812.74 and 367.90 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 812.74 = 367.90 : x
  2. Step 2: Convert to fraction form
    588.57/812.74 = 367.90/x
  3. Step 3: Cross multiply
    588.57x = 812.74 × 367.90
  4. Step 4: Simplify right side
    588.57x = 299,004.46
  5. Step 5: Solve for x
    x = 299,004.46/588.57
  6. Step 6: Final answer
    x = 508.02

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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.