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Finding the Fourth Proportional to 588.53, 811.89 and 367.54

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Solution

The fourth proportional to 588.53, 811.89 and 367.54 is: 507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.53 : 811.89 = 367.54 : x
  2. Step 2: Convert to fraction form
    588.53/811.89 = 367.54/x
  3. Step 3: Cross multiply
    588.53x = 811.89 × 367.54
  4. Step 4: Simplify right side
    588.53x = 298,400.02
  5. Step 5: Solve for x
    x = 298,400.02/588.53
  6. Step 6: Final answer
    x = 507.02

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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.