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Finding the Fourth Proportional to 620.16, 855.30 and 442.77

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Solution

The fourth proportional to 620.16, 855.30 and 442.77 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 855.30 = 442.77 : x
  2. Step 2: Convert to fraction form
    620.16/855.30 = 442.77/x
  3. Step 3: Cross multiply
    620.16x = 855.30 × 442.77
  4. Step 4: Simplify right side
    620.16x = 378,701.18
  5. Step 5: Solve for x
    x = 378,701.18/620.16
  6. Step 6: Final answer
    x = 610.65

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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.