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Finding the Fourth Proportional to 570.20, 784.94 and 422.55

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Solution

The fourth proportional to 570.20, 784.94 and 422.55 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 784.94 = 422.55 : x
  2. Step 2: Convert to fraction form
    570.20/784.94 = 422.55/x
  3. Step 3: Cross multiply
    570.20x = 784.94 × 422.55
  4. Step 4: Simplify right side
    570.20x = 331,674.28
  5. Step 5: Solve for x
    x = 331,674.28/570.20
  6. Step 6: Final answer
    x = 581.69

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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.