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Finding the Fourth Proportional to 588.45, 809.13 and 570.24

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Solution

The fourth proportional to 588.45, 809.13 and 570.24 is: 784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.45 : 809.13 = 570.24 : x
  2. Step 2: Convert to fraction form
    588.45/809.13 = 570.24/x
  3. Step 3: Cross multiply
    588.45x = 809.13 × 570.24
  4. Step 4: Simplify right side
    588.45x = 461,398.29
  5. Step 5: Solve for x
    x = 461,398.29/588.45
  6. Step 6: Final answer
    x = 784.09

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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.