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Finding the Fourth Proportional to 558.54, 770.31 and 418.99

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Solution

The fourth proportional to 558.54, 770.31 and 418.99 is: 577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 770.31 = 418.99 : x
  2. Step 2: Convert to fraction form
    558.54/770.31 = 418.99/x
  3. Step 3: Cross multiply
    558.54x = 770.31 × 418.99
  4. Step 4: Simplify right side
    558.54x = 322,752.19
  5. Step 5: Solve for x
    x = 322,752.19/558.54
  6. Step 6: Final answer
    x = 577.85

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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.