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Finding the Fourth Proportional to 650.34, 974.64 and 357.40

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Solution

The fourth proportional to 650.34, 974.64 and 357.40 is: 535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 974.64 = 357.40 : x
  2. Step 2: Convert to fraction form
    650.34/974.64 = 357.40/x
  3. Step 3: Cross multiply
    650.34x = 974.64 × 357.40
  4. Step 4: Simplify right side
    650.34x = 348,336.34
  5. Step 5: Solve for x
    x = 348,336.34/650.34
  6. Step 6: Final answer
    x = 535.62

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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.