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Finding the Fourth Proportional to 501.88, 755.83 and 441.67

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Solution

The fourth proportional to 501.88, 755.83 and 441.67 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 755.83 = 441.67 : x
  2. Step 2: Convert to fraction form
    501.88/755.83 = 441.67/x
  3. Step 3: Cross multiply
    501.88x = 755.83 × 441.67
  4. Step 4: Simplify right side
    501.88x = 333,827.44
  5. Step 5: Solve for x
    x = 333,827.44/501.88
  6. Step 6: Final answer
    x = 665.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.