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Finding the Fourth Proportional to 703.06, 970.17 and 392.50

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Solution

The fourth proportional to 703.06, 970.17 and 392.50 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.06 : 970.17 = 392.50 : x
  2. Step 2: Convert to fraction form
    703.06/970.17 = 392.50/x
  3. Step 3: Cross multiply
    703.06x = 970.17 × 392.50
  4. Step 4: Simplify right side
    703.06x = 380,791.73
  5. Step 5: Solve for x
    x = 380,791.73/703.06
  6. Step 6: Final answer
    x = 541.62

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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.