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Finding the Fourth Proportional to 572.75, 793.66 and 538.07

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Solution

The fourth proportional to 572.75, 793.66 and 538.07 is: 745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 793.66 = 538.07 : x
  2. Step 2: Convert to fraction form
    572.75/793.66 = 538.07/x
  3. Step 3: Cross multiply
    572.75x = 793.66 × 538.07
  4. Step 4: Simplify right side
    572.75x = 427,044.64
  5. Step 5: Solve for x
    x = 427,044.64/572.75
  6. Step 6: Final answer
    x = 745.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.