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Finding the Fourth Proportional to 617.42, 926.14 and 328.26

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Solution

The fourth proportional to 617.42, 926.14 and 328.26 is: 492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 926.14 = 328.26 : x
  2. Step 2: Convert to fraction form
    617.42/926.14 = 328.26/x
  3. Step 3: Cross multiply
    617.42x = 926.14 × 328.26
  4. Step 4: Simplify right side
    617.42x = 304,014.72
  5. Step 5: Solve for x
    x = 304,014.72/617.42
  6. Step 6: Final answer
    x = 492.40

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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.