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Finding the Fourth Proportional to 572.70, 790.02 and 386.22

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Solution

The fourth proportional to 572.70, 790.02 and 386.22 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 790.02 = 386.22 : x
  2. Step 2: Convert to fraction form
    572.70/790.02 = 386.22/x
  3. Step 3: Cross multiply
    572.70x = 790.02 × 386.22
  4. Step 4: Simplify right side
    572.70x = 305,121.52
  5. Step 5: Solve for x
    x = 305,121.52/572.70
  6. Step 6: Final answer
    x = 532.78

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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.