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Finding the Fourth Proportional to 940.50, 1,410.76 and 324.36

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Solution

The fourth proportional to 940.50, 1,410.76 and 324.36 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.50 : 1,410.76 = 324.36 : x
  2. Step 2: Convert to fraction form
    940.50/1,410.76 = 324.36/x
  3. Step 3: Cross multiply
    940.50x = 1,410.76 × 324.36
  4. Step 4: Simplify right side
    940.50x = 457,594.11
  5. Step 5: Solve for x
    x = 457,594.11/940.50
  6. Step 6: Final answer
    x = 486.54

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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.