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Finding the Fourth Proportional to 617.06, 851.58 and 355.10

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Solution

The fourth proportional to 617.06, 851.58 and 355.10 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 851.58 = 355.10 : x
  2. Step 2: Convert to fraction form
    617.06/851.58 = 355.10/x
  3. Step 3: Cross multiply
    617.06x = 851.58 × 355.10
  4. Step 4: Simplify right side
    617.06x = 302,396.06
  5. Step 5: Solve for x
    x = 302,396.06/617.06
  6. Step 6: Final answer
    x = 490.06

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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.