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Finding the Fourth Proportional to 410.54, 566.19 and 327.02

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Solution

The fourth proportional to 410.54, 566.19 and 327.02 is: 451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 566.19 = 327.02 : x
  2. Step 2: Convert to fraction form
    410.54/566.19 = 327.02/x
  3. Step 3: Cross multiply
    410.54x = 566.19 × 327.02
  4. Step 4: Simplify right side
    410.54x = 185,155.45
  5. Step 5: Solve for x
    x = 185,155.45/410.54
  6. Step 6: Final answer
    x = 451.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.