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Finding the Fourth Proportional to 445.09, 614.04 and 410.14

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Solution

The fourth proportional to 445.09, 614.04 and 410.14 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.09 : 614.04 = 410.14 : x
  2. Step 2: Convert to fraction form
    445.09/614.04 = 410.14/x
  3. Step 3: Cross multiply
    445.09x = 614.04 × 410.14
  4. Step 4: Simplify right side
    445.09x = 251,842.37
  5. Step 5: Solve for x
    x = 251,842.37/445.09
  6. Step 6: Final answer
    x = 565.82

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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.