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Finding the Fourth Proportional to 973.73, 1,460.69 and 324.52

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Solution

The fourth proportional to 973.73, 1,460.69 and 324.52 is: 486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.73 : 1,460.69 = 324.52 : x
  2. Step 2: Convert to fraction form
    973.73/1,460.69 = 324.52/x
  3. Step 3: Cross multiply
    973.73x = 1,460.69 × 324.52
  4. Step 4: Simplify right side
    973.73x = 474,023.12
  5. Step 5: Solve for x
    x = 474,023.12/973.73
  6. Step 6: Final answer
    x = 486.81

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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.