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Finding the Fourth Proportional to 883.56, 1,324.70 and 328.00

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Solution

The fourth proportional to 883.56, 1,324.70 and 328.00 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.56 : 1,324.70 = 328.00 : x
  2. Step 2: Convert to fraction form
    883.56/1,324.70 = 328.00/x
  3. Step 3: Cross multiply
    883.56x = 1,324.70 × 328.00
  4. Step 4: Simplify right side
    883.56x = 434,502.21
  5. Step 5: Solve for x
    x = 434,502.21/883.56
  6. Step 6: Final answer
    x = 491.76

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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.