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Finding the Fourth Proportional to 501.28, 749.76 and 446.08

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Solution

The fourth proportional to 501.28, 749.76 and 446.08 is: 667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.28 : 749.76 = 446.08 : x
  2. Step 2: Convert to fraction form
    501.28/749.76 = 446.08/x
  3. Step 3: Cross multiply
    501.28x = 749.76 × 446.08
  4. Step 4: Simplify right side
    501.28x = 334,452.94
  5. Step 5: Solve for x
    x = 334,452.94/501.28
  6. Step 6: Final answer
    x = 667.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.