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Finding the Fourth Proportional to 940.78, 1,411.08 and 324.46

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Solution

The fourth proportional to 940.78, 1,411.08 and 324.46 is: 486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,411.08 = 324.46 : x
  2. Step 2: Convert to fraction form
    940.78/1,411.08 = 324.46/x
  3. Step 3: Cross multiply
    940.78x = 1,411.08 × 324.46
  4. Step 4: Simplify right side
    940.78x = 457,839.02
  5. Step 5: Solve for x
    x = 457,839.02/940.78
  6. Step 6: Final answer
    x = 486.66

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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.