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Finding the Fourth Proportional to 623.23, 933.49 and 605.95

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Solution

The fourth proportional to 623.23, 933.49 and 605.95 is: 907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.23 : 933.49 = 605.95 : x
  2. Step 2: Convert to fraction form
    623.23/933.49 = 605.95/x
  3. Step 3: Cross multiply
    623.23x = 933.49 × 605.95
  4. Step 4: Simplify right side
    623.23x = 565,646.69
  5. Step 5: Solve for x
    x = 565,646.69/623.23
  6. Step 6: Final answer
    x = 907.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.