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Finding the Fourth Proportional to 617.18, 851.28 and 420.36

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Solution

The fourth proportional to 617.18, 851.28 and 420.36 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.18 : 851.28 = 420.36 : x
  2. Step 2: Convert to fraction form
    617.18/851.28 = 420.36/x
  3. Step 3: Cross multiply
    617.18x = 851.28 × 420.36
  4. Step 4: Simplify right side
    617.18x = 357,844.06
  5. Step 5: Solve for x
    x = 357,844.06/617.18
  6. Step 6: Final answer
    x = 579.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.