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Finding the Fourth Proportional to 918.42, 1,377.83 and 370.46

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Solution

The fourth proportional to 918.42, 1,377.83 and 370.46 is: 555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.42 : 1,377.83 = 370.46 : x
  2. Step 2: Convert to fraction form
    918.42/1,377.83 = 370.46/x
  3. Step 3: Cross multiply
    918.42x = 1,377.83 × 370.46
  4. Step 4: Simplify right side
    918.42x = 510,424.94
  5. Step 5: Solve for x
    x = 510,424.94/918.42
  6. Step 6: Final answer
    x = 555.76

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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.