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Finding the Fourth Proportional to 617.95, 926.93 and 309.61

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Solution

The fourth proportional to 617.95, 926.93 and 309.61 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.95 : 926.93 = 309.61 : x
  2. Step 2: Convert to fraction form
    617.95/926.93 = 309.61/x
  3. Step 3: Cross multiply
    617.95x = 926.93 × 309.61
  4. Step 4: Simplify right side
    617.95x = 286,986.80
  5. Step 5: Solve for x
    x = 286,986.80/617.95
  6. Step 6: Final answer
    x = 464.42

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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.