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Finding the Fourth Proportional to 532.11, 733.86 and 366.06

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Solution

The fourth proportional to 532.11, 733.86 and 366.06 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.11 : 733.86 = 366.06 : x
  2. Step 2: Convert to fraction form
    532.11/733.86 = 366.06/x
  3. Step 3: Cross multiply
    532.11x = 733.86 × 366.06
  4. Step 4: Simplify right side
    532.11x = 268,636.79
  5. Step 5: Solve for x
    x = 268,636.79/532.11
  6. Step 6: Final answer
    x = 504.85

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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.