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Finding the Fourth Proportional to 532.06, 733.58 and 443.67

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Solution

The fourth proportional to 532.06, 733.58 and 443.67 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 733.58 = 443.67 : x
  2. Step 2: Convert to fraction form
    532.06/733.58 = 443.67/x
  3. Step 3: Cross multiply
    532.06x = 733.58 × 443.67
  4. Step 4: Simplify right side
    532.06x = 325,465.22
  5. Step 5: Solve for x
    x = 325,465.22/532.06
  6. Step 6: Final answer
    x = 611.71

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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.