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Finding the Fourth Proportional to 941.36, 1,411.89 and 393.68

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Solution

The fourth proportional to 941.36, 1,411.89 and 393.68 is: 590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.36 : 1,411.89 = 393.68 : x
  2. Step 2: Convert to fraction form
    941.36/1,411.89 = 393.68/x
  3. Step 3: Cross multiply
    941.36x = 1,411.89 × 393.68
  4. Step 4: Simplify right side
    941.36x = 555,832.86
  5. Step 5: Solve for x
    x = 555,832.86/941.36
  6. Step 6: Final answer
    x = 590.46

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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.