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Finding the Fourth Proportional to 617.67, 926.51 and 309.45

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Solution

The fourth proportional to 617.67, 926.51 and 309.45 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 926.51 = 309.45 : x
  2. Step 2: Convert to fraction form
    617.67/926.51 = 309.45/x
  3. Step 3: Cross multiply
    617.67x = 926.51 × 309.45
  4. Step 4: Simplify right side
    617.67x = 286,708.52
  5. Step 5: Solve for x
    x = 286,708.52/617.67
  6. Step 6: Final answer
    x = 464.18

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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.