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Finding the Fourth Proportional to 586.05, 809.15 and 523.68

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Solution

The fourth proportional to 586.05, 809.15 and 523.68 is: 723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.05 : 809.15 = 523.68 : x
  2. Step 2: Convert to fraction form
    586.05/809.15 = 523.68/x
  3. Step 3: Cross multiply
    586.05x = 809.15 × 523.68
  4. Step 4: Simplify right side
    586.05x = 423,733.05
  5. Step 5: Solve for x
    x = 423,733.05/586.05
  6. Step 6: Final answer
    x = 723.03

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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.