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Finding the Fourth Proportional to 417.81, 576.63 and 330.33

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Solution

The fourth proportional to 417.81, 576.63 and 330.33 is: 455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 576.63 = 330.33 : x
  2. Step 2: Convert to fraction form
    417.81/576.63 = 330.33/x
  3. Step 3: Cross multiply
    417.81x = 576.63 × 330.33
  4. Step 4: Simplify right side
    417.81x = 190,478.19
  5. Step 5: Solve for x
    x = 190,478.19/417.81
  6. Step 6: Final answer
    x = 455.90

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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.