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Finding the Fourth Proportional to 586.35, 808.69 and 523.39

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Solution

The fourth proportional to 586.35, 808.69 and 523.39 is: 721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.35 : 808.69 = 523.39 : x
  2. Step 2: Convert to fraction form
    586.35/808.69 = 523.39/x
  3. Step 3: Cross multiply
    586.35x = 808.69 × 523.39
  4. Step 4: Simplify right side
    586.35x = 423,260.26
  5. Step 5: Solve for x
    x = 423,260.26/586.35
  6. Step 6: Final answer
    x = 721.86

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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.