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Finding the Fourth Proportional to 440.36, 661.74 and 415.19

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Solution

The fourth proportional to 440.36, 661.74 and 415.19 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.36 : 661.74 = 415.19 : x
  2. Step 2: Convert to fraction form
    440.36/661.74 = 415.19/x
  3. Step 3: Cross multiply
    440.36x = 661.74 × 415.19
  4. Step 4: Simplify right side
    440.36x = 274,744.21
  5. Step 5: Solve for x
    x = 274,744.21/440.36
  6. Step 6: Final answer
    x = 623.91

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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.