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Finding the Fourth Proportional to 651.68, 977.64 and 326.24

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Solution

The fourth proportional to 651.68, 977.64 and 326.24 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 977.64 = 326.24 : x
  2. Step 2: Convert to fraction form
    651.68/977.64 = 326.24/x
  3. Step 3: Cross multiply
    651.68x = 977.64 × 326.24
  4. Step 4: Simplify right side
    651.68x = 318,945.27
  5. Step 5: Solve for x
    x = 318,945.27/651.68
  6. Step 6: Final answer
    x = 489.42

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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.