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Finding the Fourth Proportional to 588.42, 811.71 and 367.14

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Solution

The fourth proportional to 588.42, 811.71 and 367.14 is: 506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 811.71 = 367.14 : x
  2. Step 2: Convert to fraction form
    588.42/811.71 = 367.14/x
  3. Step 3: Cross multiply
    588.42x = 811.71 × 367.14
  4. Step 4: Simplify right side
    588.42x = 298,011.21
  5. Step 5: Solve for x
    x = 298,011.21/588.42
  6. Step 6: Final answer
    x = 506.46

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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.