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Finding the Fourth Proportional to 588.84, 812.94 and 367.91

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Solution

The fourth proportional to 588.84, 812.94 and 367.91 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 812.94 = 367.91 : x
  2. Step 2: Convert to fraction form
    588.84/812.94 = 367.91/x
  3. Step 3: Cross multiply
    588.84x = 812.94 × 367.91
  4. Step 4: Simplify right side
    588.84x = 299,084.69
  5. Step 5: Solve for x
    x = 299,084.69/588.84
  6. Step 6: Final answer
    x = 507.92

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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.