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Finding the Fourth Proportional to 703.54, 970.68 and 423.64

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Solution

The fourth proportional to 703.54, 970.68 and 423.64 is: 584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 970.68 = 423.64 : x
  2. Step 2: Convert to fraction form
    703.54/970.68 = 423.64/x
  3. Step 3: Cross multiply
    703.54x = 970.68 × 423.64
  4. Step 4: Simplify right side
    703.54x = 411,218.88
  5. Step 5: Solve for x
    x = 411,218.88/703.54
  6. Step 6: Final answer
    x = 584.50

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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.