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Finding the Fourth Proportional to 645.92, 969.06 and 316.88

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Solution

The fourth proportional to 645.92, 969.06 and 316.88 is: 475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.92 : 969.06 = 316.88 : x
  2. Step 2: Convert to fraction form
    645.92/969.06 = 316.88/x
  3. Step 3: Cross multiply
    645.92x = 969.06 × 316.88
  4. Step 4: Simplify right side
    645.92x = 307,075.73
  5. Step 5: Solve for x
    x = 307,075.73/645.92
  6. Step 6: Final answer
    x = 475.41

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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.