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Finding the Fourth Proportional to 650.47, 975.71 and 260.51

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Solution

The fourth proportional to 650.47, 975.71 and 260.51 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.47 : 975.71 = 260.51 : x
  2. Step 2: Convert to fraction form
    650.47/975.71 = 260.51/x
  3. Step 3: Cross multiply
    650.47x = 975.71 × 260.51
  4. Step 4: Simplify right side
    650.47x = 254,177.98
  5. Step 5: Solve for x
    x = 254,177.98/650.47
  6. Step 6: Final answer
    x = 390.76

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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.