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Finding the Fourth Proportional to 444.42, 665.69 and 410.40

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Solution

The fourth proportional to 444.42, 665.69 and 410.40 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.42 : 665.69 = 410.40 : x
  2. Step 2: Convert to fraction form
    444.42/665.69 = 410.40/x
  3. Step 3: Cross multiply
    444.42x = 665.69 × 410.40
  4. Step 4: Simplify right side
    444.42x = 273,197.12
  5. Step 5: Solve for x
    x = 273,197.12/444.42
  6. Step 6: Final answer
    x = 614.73

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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.