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Finding the Fourth Proportional to 703.50, 970.98 and 408.93

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Solution

The fourth proportional to 703.50, 970.98 and 408.93 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 970.98 = 408.93 : x
  2. Step 2: Convert to fraction form
    703.50/970.98 = 408.93/x
  3. Step 3: Cross multiply
    703.50x = 970.98 × 408.93
  4. Step 4: Simplify right side
    703.50x = 397,062.85
  5. Step 5: Solve for x
    x = 397,062.85/703.50
  6. Step 6: Final answer
    x = 564.41

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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.