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Finding the Fourth Proportional to 703.15, 970.08 and 423.47

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Solution

The fourth proportional to 703.15, 970.08 and 423.47 is: 584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.15 : 970.08 = 423.47 : x
  2. Step 2: Convert to fraction form
    703.15/970.08 = 423.47/x
  3. Step 3: Cross multiply
    703.15x = 970.08 × 423.47
  4. Step 4: Simplify right side
    703.15x = 410,799.78
  5. Step 5: Solve for x
    x = 410,799.78/703.15
  6. Step 6: Final answer
    x = 584.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.