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Finding the Fourth Proportional to 588.23, 811.71 and 525.86

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Solution

The fourth proportional to 588.23, 811.71 and 525.86 is: 725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.23 : 811.71 = 525.86 : x
  2. Step 2: Convert to fraction form
    588.23/811.71 = 525.86/x
  3. Step 3: Cross multiply
    588.23x = 811.71 × 525.86
  4. Step 4: Simplify right side
    588.23x = 426,845.82
  5. Step 5: Solve for x
    x = 426,845.82/588.23
  6. Step 6: Final answer
    x = 725.64

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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.