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Finding the Fourth Proportional to 703.02, 970.17 and 408.35

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Solution

The fourth proportional to 703.02, 970.17 and 408.35 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 970.17 = 408.35 : x
  2. Step 2: Convert to fraction form
    703.02/970.17 = 408.35/x
  3. Step 3: Cross multiply
    703.02x = 970.17 × 408.35
  4. Step 4: Simplify right side
    703.02x = 396,168.92
  5. Step 5: Solve for x
    x = 396,168.92/703.02
  6. Step 6: Final answer
    x = 563.52

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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.