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Finding the Fourth Proportional to 918.68, 1,378.20 and 302.39

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Solution

The fourth proportional to 918.68, 1,378.20 and 302.39 is: 453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.68 : 1,378.20 = 302.39 : x
  2. Step 2: Convert to fraction form
    918.68/1,378.20 = 302.39/x
  3. Step 3: Cross multiply
    918.68x = 1,378.20 × 302.39
  4. Step 4: Simplify right side
    918.68x = 416,747.01
  5. Step 5: Solve for x
    x = 416,747.01/918.68
  6. Step 6: Final answer
    x = 453.64

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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.