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Finding the Fourth Proportional to 444.07, 661.57 and 416.13

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Solution

The fourth proportional to 444.07, 661.57 and 416.13 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.07 : 661.57 = 416.13 : x
  2. Step 2: Convert to fraction form
    444.07/661.57 = 416.13/x
  3. Step 3: Cross multiply
    444.07x = 661.57 × 416.13
  4. Step 4: Simplify right side
    444.07x = 275,299.12
  5. Step 5: Solve for x
    x = 275,299.12/444.07
  6. Step 6: Final answer
    x = 619.95

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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.