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Finding the Fourth Proportional to 469.38, 704.58 and 383.73

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Solution

The fourth proportional to 469.38, 704.58 and 383.73 is: 576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 704.58 = 383.73 : x
  2. Step 2: Convert to fraction form
    469.38/704.58 = 383.73/x
  3. Step 3: Cross multiply
    469.38x = 704.58 × 383.73
  4. Step 4: Simplify right side
    469.38x = 270,368.48
  5. Step 5: Solve for x
    x = 270,368.48/469.38
  6. Step 6: Final answer
    x = 576.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.