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Finding the Fourth Proportional to 557.10, 833.67 and 361.98

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Solution

The fourth proportional to 557.10, 833.67 and 361.98 is: 541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 833.67 = 361.98 : x
  2. Step 2: Convert to fraction form
    557.10/833.67 = 361.98/x
  3. Step 3: Cross multiply
    557.10x = 833.67 × 361.98
  4. Step 4: Simplify right side
    557.10x = 301,771.87
  5. Step 5: Solve for x
    x = 301,771.87/557.10
  6. Step 6: Final answer
    x = 541.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.