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Finding the Fourth Proportional to 410.56, 566.83 and 305.53

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Solution

The fourth proportional to 410.56, 566.83 and 305.53 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.56 : 566.83 = 305.53 : x
  2. Step 2: Convert to fraction form
    410.56/566.83 = 305.53/x
  3. Step 3: Cross multiply
    410.56x = 566.83 × 305.53
  4. Step 4: Simplify right side
    410.56x = 173,181.39
  5. Step 5: Solve for x
    x = 173,181.39/410.56
  6. Step 6: Final answer
    x = 421.82

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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.