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Finding the Fourth Proportional to 410.99, 565.66 and 327.83

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Solution

The fourth proportional to 410.99, 565.66 and 327.83 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 565.66 = 327.83 : x
  2. Step 2: Convert to fraction form
    410.99/565.66 = 327.83/x
  3. Step 3: Cross multiply
    410.99x = 565.66 × 327.83
  4. Step 4: Simplify right side
    410.99x = 185,440.32
  5. Step 5: Solve for x
    x = 185,440.32/410.99
  6. Step 6: Final answer
    x = 451.20

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