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Finding the Fourth Proportional to 529.45, 730.30 and 413.29

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Solution

The fourth proportional to 529.45, 730.30 and 413.29 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.45 : 730.30 = 413.29 : x
  2. Step 2: Convert to fraction form
    529.45/730.30 = 413.29/x
  3. Step 3: Cross multiply
    529.45x = 730.30 × 413.29
  4. Step 4: Simplify right side
    529.45x = 301,825.69
  5. Step 5: Solve for x
    x = 301,825.69/529.45
  6. Step 6: Final answer
    x = 570.07

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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.