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Finding the Fourth Proportional to 578.53, 798.37 and 413.03

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Solution

The fourth proportional to 578.53, 798.37 and 413.03 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 798.37 = 413.03 : x
  2. Step 2: Convert to fraction form
    578.53/798.37 = 413.03/x
  3. Step 3: Cross multiply
    578.53x = 798.37 × 413.03
  4. Step 4: Simplify right side
    578.53x = 329,750.76
  5. Step 5: Solve for x
    x = 329,750.76/578.53
  6. Step 6: Final answer
    x = 569.98

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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.