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Finding the Fourth Proportional to 650.46, 975.14 and 260.22

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Solution

The fourth proportional to 650.46, 975.14 and 260.22 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.46 : 975.14 = 260.22 : x
  2. Step 2: Convert to fraction form
    650.46/975.14 = 260.22/x
  3. Step 3: Cross multiply
    650.46x = 975.14 × 260.22
  4. Step 4: Simplify right side
    650.46x = 253,744.75
  5. Step 5: Solve for x
    x = 253,744.75/650.46
  6. Step 6: Final answer
    x = 390.10

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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.