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Finding the Fourth Proportional to 645.95, 970.73 and 385.98

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Solution

The fourth proportional to 645.95, 970.73 and 385.98 is: 580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 970.73 = 385.98 : x
  2. Step 2: Convert to fraction form
    645.95/970.73 = 385.98/x
  3. Step 3: Cross multiply
    645.95x = 970.73 × 385.98
  4. Step 4: Simplify right side
    645.95x = 374,680.44
  5. Step 5: Solve for x
    x = 374,680.44/645.95
  6. Step 6: Final answer
    x = 580.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.