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Finding the Fourth Proportional to 620.08, 854.44 and 509.20

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Solution

The fourth proportional to 620.08, 854.44 and 509.20 is: 701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.08 : 854.44 = 509.20 : x
  2. Step 2: Convert to fraction form
    620.08/854.44 = 509.20/x
  3. Step 3: Cross multiply
    620.08x = 854.44 × 509.20
  4. Step 4: Simplify right side
    620.08x = 435,080.85
  5. Step 5: Solve for x
    x = 435,080.85/620.08
  6. Step 6: Final answer
    x = 701.65

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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.