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Finding the Fourth Proportional to 523.70, 722.12 and 413.44

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Solution

The fourth proportional to 523.70, 722.12 and 413.44 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 722.12 = 413.44 : x
  2. Step 2: Convert to fraction form
    523.70/722.12 = 413.44/x
  3. Step 3: Cross multiply
    523.70x = 722.12 × 413.44
  4. Step 4: Simplify right side
    523.70x = 298,549.42
  5. Step 5: Solve for x
    x = 298,549.42/523.70
  6. Step 6: Final answer
    x = 570.08

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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.