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Finding the Fourth Proportional to 532.50, 734.85 and 299.67

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Solution

The fourth proportional to 532.50, 734.85 and 299.67 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 734.85 = 299.67 : x
  2. Step 2: Convert to fraction form
    532.50/734.85 = 299.67/x
  3. Step 3: Cross multiply
    532.50x = 734.85 × 299.67
  4. Step 4: Simplify right side
    532.50x = 220,212.50
  5. Step 5: Solve for x
    x = 220,212.50/532.50
  6. Step 6: Final answer
    x = 413.54

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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.