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Finding the Fourth Proportional to 650.98, 975.75 and 342.76

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Solution

The fourth proportional to 650.98, 975.75 and 342.76 is: 513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 975.75 = 342.76 : x
  2. Step 2: Convert to fraction form
    650.98/975.75 = 342.76/x
  3. Step 3: Cross multiply
    650.98x = 975.75 × 342.76
  4. Step 4: Simplify right side
    650.98x = 334,448.07
  5. Step 5: Solve for x
    x = 334,448.07/650.98
  6. Step 6: Final answer
    x = 513.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.