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Finding the Fourth Proportional to 572.82, 790.76 and 363.03

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Solution

The fourth proportional to 572.82, 790.76 and 363.03 is: 501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.82 : 790.76 = 363.03 : x
  2. Step 2: Convert to fraction form
    572.82/790.76 = 363.03/x
  3. Step 3: Cross multiply
    572.82x = 790.76 × 363.03
  4. Step 4: Simplify right side
    572.82x = 287,069.60
  5. Step 5: Solve for x
    x = 287,069.60/572.82
  6. Step 6: Final answer
    x = 501.15

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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.