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Finding the Fourth Proportional to 703.89, 971.34 and 409.17

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Solution

The fourth proportional to 703.89, 971.34 and 409.17 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.89 : 971.34 = 409.17 : x
  2. Step 2: Convert to fraction form
    703.89/971.34 = 409.17/x
  3. Step 3: Cross multiply
    703.89x = 971.34 × 409.17
  4. Step 4: Simplify right side
    703.89x = 397,443.19
  5. Step 5: Solve for x
    x = 397,443.19/703.89
  6. Step 6: Final answer
    x = 564.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.