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Finding the Fourth Proportional to 557.84, 770.07 and 336.75

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Solution

The fourth proportional to 557.84, 770.07 and 336.75 is: 464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.84 : 770.07 = 336.75 : x
  2. Step 2: Convert to fraction form
    557.84/770.07 = 336.75/x
  3. Step 3: Cross multiply
    557.84x = 770.07 × 336.75
  4. Step 4: Simplify right side
    557.84x = 259,321.07
  5. Step 5: Solve for x
    x = 259,321.07/557.84
  6. Step 6: Final answer
    x = 464.87

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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.