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Finding the Fourth Proportional to 704.36, 972.06 and 405.71

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Solution

The fourth proportional to 704.36, 972.06 and 405.71 is: 559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 972.06 = 405.71 : x
  2. Step 2: Convert to fraction form
    704.36/972.06 = 405.71/x
  3. Step 3: Cross multiply
    704.36x = 972.06 × 405.71
  4. Step 4: Simplify right side
    704.36x = 394,374.46
  5. Step 5: Solve for x
    x = 394,374.46/704.36
  6. Step 6: Final answer
    x = 559.90

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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.