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Finding the Fourth Proportional to 650.05, 975.16 and 260.09

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Solution

The fourth proportional to 650.05, 975.16 and 260.09 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.05 : 975.16 = 260.09 : x
  2. Step 2: Convert to fraction form
    650.05/975.16 = 260.09/x
  3. Step 3: Cross multiply
    650.05x = 975.16 × 260.09
  4. Step 4: Simplify right side
    650.05x = 253,629.36
  5. Step 5: Solve for x
    x = 253,629.36/650.05
  6. Step 6: Final answer
    x = 390.17

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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.