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Finding the Fourth Proportional to 532.75, 735.21 and 299.89

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Solution

The fourth proportional to 532.75, 735.21 and 299.89 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 735.21 = 299.89 : x
  2. Step 2: Convert to fraction form
    532.75/735.21 = 299.89/x
  3. Step 3: Cross multiply
    532.75x = 735.21 × 299.89
  4. Step 4: Simplify right side
    532.75x = 220,482.13
  5. Step 5: Solve for x
    x = 220,482.13/532.75
  6. Step 6: Final answer
    x = 413.86

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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.