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Finding the Fourth Proportional to 703.84, 971.30 and 393.34

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Solution

The fourth proportional to 703.84, 971.30 and 393.34 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 971.30 = 393.34 : x
  2. Step 2: Convert to fraction form
    703.84/971.30 = 393.34/x
  3. Step 3: Cross multiply
    703.84x = 971.30 × 393.34
  4. Step 4: Simplify right side
    703.84x = 382,051.14
  5. Step 5: Solve for x
    x = 382,051.14/703.84
  6. Step 6: Final answer
    x = 542.81

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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.