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Finding the Fourth Proportional to 652.23, 977.83 and 323.28

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Solution

The fourth proportional to 652.23, 977.83 and 323.28 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 977.83 = 323.28 : x
  2. Step 2: Convert to fraction form
    652.23/977.83 = 323.28/x
  3. Step 3: Cross multiply
    652.23x = 977.83 × 323.28
  4. Step 4: Simplify right side
    652.23x = 316,116.64
  5. Step 5: Solve for x
    x = 316,116.64/652.23
  6. Step 6: Final answer
    x = 484.67

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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.