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Finding the Fourth Proportional to 572.53, 790.20 and 386.02

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Solution

The fourth proportional to 572.53, 790.20 and 386.02 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.53 : 790.20 = 386.02 : x
  2. Step 2: Convert to fraction form
    572.53/790.20 = 386.02/x
  3. Step 3: Cross multiply
    572.53x = 790.20 × 386.02
  4. Step 4: Simplify right side
    572.53x = 305,033.00
  5. Step 5: Solve for x
    x = 305,033.00/572.53
  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.