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Finding the Fourth Proportional to 703.48, 970.90 and 393

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Solution

The fourth proportional to 703.48, 970.90 and 393 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.48 : 970.90 = 393 : x
  2. Step 2: Convert to fraction form
    703.48/970.90 = 393/x
  3. Step 3: Cross multiply
    703.48x = 970.90 × 393
  4. Step 4: Simplify right side
    703.48x = 381,563.70
  5. Step 5: Solve for x
    x = 381,563.70/703.48
  6. Step 6: Final answer
    x = 542.39

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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.