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Finding the Fourth Proportional to 918.85, 1,378.32 and 370.96

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Solution

The fourth proportional to 918.85, 1,378.32 and 370.96 is: 556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.85 : 1,378.32 = 370.96 : x
  2. Step 2: Convert to fraction form
    918.85/1,378.32 = 370.96/x
  3. Step 3: Cross multiply
    918.85x = 1,378.32 × 370.96
  4. Step 4: Simplify right side
    918.85x = 511,301.59
  5. Step 5: Solve for x
    x = 511,301.59/918.85
  6. Step 6: Final answer
    x = 556.46

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Why These Related Problems?

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