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Finding the Fourth Proportional to 440.48, 661.23 and 396.39

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Solution

The fourth proportional to 440.48, 661.23 and 396.39 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.48 : 661.23 = 396.39 : x
  2. Step 2: Convert to fraction form
    440.48/661.23 = 396.39/x
  3. Step 3: Cross multiply
    440.48x = 661.23 × 396.39
  4. Step 4: Simplify right side
    440.48x = 262,105.77
  5. Step 5: Solve for x
    x = 262,105.77/440.48
  6. Step 6: Final answer
    x = 595.05

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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.