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Finding the Fourth Proportional to 703.73, 971.21 and 424.05

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Solution

The fourth proportional to 703.73, 971.21 and 424.05 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.73 : 971.21 = 424.05 : x
  2. Step 2: Convert to fraction form
    703.73/971.21 = 424.05/x
  3. Step 3: Cross multiply
    703.73x = 971.21 × 424.05
  4. Step 4: Simplify right side
    703.73x = 411,842.66
  5. Step 5: Solve for x
    x = 411,842.66/703.73
  6. Step 6: Final answer
    x = 585.23

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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.