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Finding the Fourth Proportional to 529.88, 793.80 and 413.78

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Solution

The fourth proportional to 529.88, 793.80 and 413.78 is: 619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 793.80 = 413.78 : x
  2. Step 2: Convert to fraction form
    529.88/793.80 = 413.78/x
  3. Step 3: Cross multiply
    529.88x = 793.80 × 413.78
  4. Step 4: Simplify right side
    529.88x = 328,454.60
  5. Step 5: Solve for x
    x = 328,454.60/529.88
  6. Step 6: Final answer
    x = 619.87

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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.