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Finding the Fourth Proportional to 652.35, 977.85 and 326.73

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Solution

The fourth proportional to 652.35, 977.85 and 326.73 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.35 : 977.85 = 326.73 : x
  2. Step 2: Convert to fraction form
    652.35/977.85 = 326.73/x
  3. Step 3: Cross multiply
    652.35x = 977.85 × 326.73
  4. Step 4: Simplify right side
    652.35x = 319,492.93
  5. Step 5: Solve for x
    x = 319,492.93/652.35
  6. Step 6: Final answer
    x = 489.76

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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.