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Finding the Fourth Proportional to 703.98, 971.51 and 424.22

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Solution

The fourth proportional to 703.98, 971.51 and 424.22 is: 585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 971.51 = 424.22 : x
  2. Step 2: Convert to fraction form
    703.98/971.51 = 424.22/x
  3. Step 3: Cross multiply
    703.98x = 971.51 × 424.22
  4. Step 4: Simplify right side
    703.98x = 412,126.99
  5. Step 5: Solve for x
    x = 412,126.99/703.98
  6. Step 6: Final answer
    x = 585.42

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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.