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Finding the Fourth Proportional to 703.98, 971.70 and 424.41

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Solution

The fourth proportional to 703.98, 971.70 and 424.41 is: 585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 971.70 = 424.41 : x
  2. Step 2: Convert to fraction form
    703.98/971.70 = 424.41/x
  3. Step 3: Cross multiply
    703.98x = 971.70 × 424.41
  4. Step 4: Simplify right side
    703.98x = 412,399.20
  5. Step 5: Solve for x
    x = 412,399.20/703.98
  6. Step 6: Final answer
    x = 585.81

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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.