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Finding the Fourth Proportional to 650.04, 974.88 and 239.16

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Solution

The fourth proportional to 650.04, 974.88 and 239.16 is: 358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 974.88 = 239.16 : x
  2. Step 2: Convert to fraction form
    650.04/974.88 = 239.16/x
  3. Step 3: Cross multiply
    650.04x = 974.88 × 239.16
  4. Step 4: Simplify right side
    650.04x = 233,152.30
  5. Step 5: Solve for x
    x = 233,152.30/650.04
  6. Step 6: Final answer
    x = 358.67

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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.