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Finding the Fourth Proportional to 445.02, 614.16 and 334.28

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Solution

The fourth proportional to 445.02, 614.16 and 334.28 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.02 : 614.16 = 334.28 : x
  2. Step 2: Convert to fraction form
    445.02/614.16 = 334.28/x
  3. Step 3: Cross multiply
    445.02x = 614.16 × 334.28
  4. Step 4: Simplify right side
    445.02x = 205,301.40
  5. Step 5: Solve for x
    x = 205,301.40/445.02
  6. Step 6: Final answer
    x = 461.33

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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.