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Finding the Fourth Proportional to 522.06, 782.28 and 413.52

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Solution

The fourth proportional to 522.06, 782.28 and 413.52 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 782.28 = 413.52 : x
  2. Step 2: Convert to fraction form
    522.06/782.28 = 413.52/x
  3. Step 3: Cross multiply
    522.06x = 782.28 × 413.52
  4. Step 4: Simplify right side
    522.06x = 323,488.43
  5. Step 5: Solve for x
    x = 323,488.43/522.06
  6. Step 6: Final answer
    x = 619.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.