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Finding the Fourth Proportional to 903.70, 1,355.64 and 326.50

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Solution

The fourth proportional to 903.70, 1,355.64 and 326.50 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,355.64 = 326.50 : x
  2. Step 2: Convert to fraction form
    903.70/1,355.64 = 326.50/x
  3. Step 3: Cross multiply
    903.70x = 1,355.64 × 326.50
  4. Step 4: Simplify right side
    903.70x = 442,616.46
  5. Step 5: Solve for x
    x = 442,616.46/903.70
  6. Step 6: Final answer
    x = 489.78

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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.