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Finding the Fourth Proportional to 501.63, 748.49 and 446.82

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Solution

The fourth proportional to 501.63, 748.49 and 446.82 is: 666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 748.49 = 446.82 : x
  2. Step 2: Convert to fraction form
    501.63/748.49 = 446.82/x
  3. Step 3: Cross multiply
    501.63x = 748.49 × 446.82
  4. Step 4: Simplify right side
    501.63x = 334,441.42
  5. Step 5: Solve for x
    x = 334,441.42/501.63
  6. Step 6: Final answer
    x = 666.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.