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Finding the Fourth Proportional to 704.03, 971.51 and 409.32

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Solution

The fourth proportional to 704.03, 971.51 and 409.32 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.03 : 971.51 = 409.32 : x
  2. Step 2: Convert to fraction form
    704.03/971.51 = 409.32/x
  3. Step 3: Cross multiply
    704.03x = 971.51 × 409.32
  4. Step 4: Simplify right side
    704.03x = 397,656.43
  5. Step 5: Solve for x
    x = 397,656.43/704.03
  6. Step 6: Final answer
    x = 564.83

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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.