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Finding the Fourth Proportional to 621.95, 933.06 and 189.09

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Solution

The fourth proportional to 621.95, 933.06 and 189.09 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.95 : 933.06 = 189.09 : x
  2. Step 2: Convert to fraction form
    621.95/933.06 = 189.09/x
  3. Step 3: Cross multiply
    621.95x = 933.06 × 189.09
  4. Step 4: Simplify right side
    621.95x = 176,435.46
  5. Step 5: Solve for x
    x = 176,435.46/621.95
  6. Step 6: Final answer
    x = 283.68

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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.