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Finding the Fourth Proportional to 588.42, 811.68 and 518.64

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Solution

The fourth proportional to 588.42, 811.68 and 518.64 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 811.68 = 518.64 : x
  2. Step 2: Convert to fraction form
    588.42/811.68 = 518.64/x
  3. Step 3: Cross multiply
    588.42x = 811.68 × 518.64
  4. Step 4: Simplify right side
    588.42x = 420,969.72
  5. Step 5: Solve for x
    x = 420,969.72/588.42
  6. Step 6: Final answer
    x = 715.42

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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.