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Finding the Fourth Proportional to 446.05, 614.82 and 341.02

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Solution

The fourth proportional to 446.05, 614.82 and 341.02 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.05 : 614.82 = 341.02 : x
  2. Step 2: Convert to fraction form
    446.05/614.82 = 341.02/x
  3. Step 3: Cross multiply
    446.05x = 614.82 × 341.02
  4. Step 4: Simplify right side
    446.05x = 209,665.92
  5. Step 5: Solve for x
    x = 209,665.92/446.05
  6. Step 6: Final answer
    x = 470.05

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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.