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Finding the Fourth Proportional to 703.08, 970.34 and 427.24

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Solution

The fourth proportional to 703.08, 970.34 and 427.24 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.08 : 970.34 = 427.24 : x
  2. Step 2: Convert to fraction form
    703.08/970.34 = 427.24/x
  3. Step 3: Cross multiply
    703.08x = 970.34 × 427.24
  4. Step 4: Simplify right side
    703.08x = 414,568.06
  5. Step 5: Solve for x
    x = 414,568.06/703.08
  6. Step 6: Final answer
    x = 589.65

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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.