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Finding the Fourth Proportional to 532.87, 735.35 and 299.99

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Solution

The fourth proportional to 532.87, 735.35 and 299.99 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.87 : 735.35 = 299.99 : x
  2. Step 2: Convert to fraction form
    532.87/735.35 = 299.99/x
  3. Step 3: Cross multiply
    532.87x = 735.35 × 299.99
  4. Step 4: Simplify right side
    532.87x = 220,597.65
  5. Step 5: Solve for x
    x = 220,597.65/532.87
  6. Step 6: Final answer
    x = 413.98

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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.