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Finding the Fourth Proportional to 410.12, 565.83 and 233.07

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Solution

The fourth proportional to 410.12, 565.83 and 233.07 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 565.83 = 233.07 : x
  2. Step 2: Convert to fraction form
    410.12/565.83 = 233.07/x
  3. Step 3: Cross multiply
    410.12x = 565.83 × 233.07
  4. Step 4: Simplify right side
    410.12x = 131,878.00
  5. Step 5: Solve for x
    x = 131,878.00/410.12
  6. Step 6: Final answer
    x = 321.56

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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.