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Finding the Fourth Proportional to 538.02, 742.82 and 413.45

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Solution

The fourth proportional to 538.02, 742.82 and 413.45 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.02 : 742.82 = 413.45 : x
  2. Step 2: Convert to fraction form
    538.02/742.82 = 413.45/x
  3. Step 3: Cross multiply
    538.02x = 742.82 × 413.45
  4. Step 4: Simplify right side
    538.02x = 307,121.82
  5. Step 5: Solve for x
    x = 307,121.82/538.02
  6. Step 6: Final answer
    x = 570.84

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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.