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Finding the Fourth Proportional to 975.44, 1,463.22 and 245.02

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Solution

The fourth proportional to 975.44, 1,463.22 and 245.02 is: 367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.44 : 1,463.22 = 245.02 : x
  2. Step 2: Convert to fraction form
    975.44/1,463.22 = 245.02/x
  3. Step 3: Cross multiply
    975.44x = 1,463.22 × 245.02
  4. Step 4: Simplify right side
    975.44x = 358,518.16
  5. Step 5: Solve for x
    x = 358,518.16/975.44
  6. Step 6: Final answer
    x = 367.55

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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.