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Finding the Fourth Proportional to 651.08, 975.66 and 326

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Solution

The fourth proportional to 651.08, 975.66 and 326 is: 488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 975.66 = 326 : x
  2. Step 2: Convert to fraction form
    651.08/975.66 = 326/x
  3. Step 3: Cross multiply
    651.08x = 975.66 × 326
  4. Step 4: Simplify right side
    651.08x = 318,065.16
  5. Step 5: Solve for x
    x = 318,065.16/651.08
  6. Step 6: Final answer
    x = 488.52

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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.