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Finding the Fourth Proportional to 704.37, 972.01 and 389.63

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Solution

The fourth proportional to 704.37, 972.01 and 389.63 is: 537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.37 : 972.01 = 389.63 : x
  2. Step 2: Convert to fraction form
    704.37/972.01 = 389.63/x
  3. Step 3: Cross multiply
    704.37x = 972.01 × 389.63
  4. Step 4: Simplify right side
    704.37x = 378,727.17
  5. Step 5: Solve for x
    x = 378,727.17/704.37
  6. Step 6: Final answer
    x = 537.68

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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.