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Finding the Fourth Proportional to 588.70, 812.63 and 367.71

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Solution

The fourth proportional to 588.70, 812.63 and 367.71 is: 507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.70 : 812.63 = 367.71 : x
  2. Step 2: Convert to fraction form
    588.70/812.63 = 367.71/x
  3. Step 3: Cross multiply
    588.70x = 812.63 × 367.71
  4. Step 4: Simplify right side
    588.70x = 298,812.18
  5. Step 5: Solve for x
    x = 298,812.18/588.70
  6. Step 6: Final answer
    x = 507.58

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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.