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Finding the Fourth Proportional to 620.55, 855.99 and 542.07

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Solution

The fourth proportional to 620.55, 855.99 and 542.07 is: 747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.55 : 855.99 = 542.07 : x
  2. Step 2: Convert to fraction form
    620.55/855.99 = 542.07/x
  3. Step 3: Cross multiply
    620.55x = 855.99 × 542.07
  4. Step 4: Simplify right side
    620.55x = 464,006.50
  5. Step 5: Solve for x
    x = 464,006.50/620.55
  6. Step 6: Final answer
    x = 747.73

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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.