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Finding the Fourth Proportional to 650, 975.24 and 342.08

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Solution

The fourth proportional to 650, 975.24 and 342.08 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 975.24 = 342.08 : x
  2. Step 2: Convert to fraction form
    650/975.24 = 342.08/x
  3. Step 3: Cross multiply
    650x = 975.24 × 342.08
  4. Step 4: Simplify right side
    650x = 333,610.10
  5. Step 5: Solve for x
    x = 333,610.10/650
  6. Step 6: Final answer
    x = 513.25

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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.