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Finding the Fourth Proportional to 532.10, 733.59 and 413.91

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Solution

The fourth proportional to 532.10, 733.59 and 413.91 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 733.59 = 413.91 : x
  2. Step 2: Convert to fraction form
    532.10/733.59 = 413.91/x
  3. Step 3: Cross multiply
    532.10x = 733.59 × 413.91
  4. Step 4: Simplify right side
    532.10x = 303,640.24
  5. Step 5: Solve for x
    x = 303,640.24/532.10
  6. Step 6: Final answer
    x = 570.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.