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Finding the Fourth Proportional to 557.58, 769.40 and 361.06

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Solution

The fourth proportional to 557.58, 769.40 and 361.06 is: 498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 769.40 = 361.06 : x
  2. Step 2: Convert to fraction form
    557.58/769.40 = 361.06/x
  3. Step 3: Cross multiply
    557.58x = 769.40 × 361.06
  4. Step 4: Simplify right side
    557.58x = 277,797.19
  5. Step 5: Solve for x
    x = 277,797.19/557.58
  6. Step 6: Final answer
    x = 498.22

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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.