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Finding the Fourth Proportional to 973.14, 1,459.68 and 323.88

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Solution

The fourth proportional to 973.14, 1,459.68 and 323.88 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.14 : 1,459.68 = 323.88 : x
  2. Step 2: Convert to fraction form
    973.14/1,459.68 = 323.88/x
  3. Step 3: Cross multiply
    973.14x = 1,459.68 × 323.88
  4. Step 4: Simplify right side
    973.14x = 472,761.16
  5. Step 5: Solve for x
    x = 472,761.16/973.14
  6. Step 6: Final answer
    x = 485.81

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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.