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Finding the Fourth Proportional to 975.33, 1,463.58 and 359.47

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Solution

The fourth proportional to 975.33, 1,463.58 and 359.47 is: 539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.33 : 1,463.58 = 359.47 : x
  2. Step 2: Convert to fraction form
    975.33/1,463.58 = 359.47/x
  3. Step 3: Cross multiply
    975.33x = 1,463.58 × 359.47
  4. Step 4: Simplify right side
    975.33x = 526,107.65
  5. Step 5: Solve for x
    x = 526,107.65/975.33
  6. Step 6: Final answer
    x = 539.41

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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.