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Finding the Fourth Proportional to 918.20, 1,378.01 and 370.78

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Solution

The fourth proportional to 918.20, 1,378.01 and 370.78 is: 556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.20 : 1,378.01 = 370.78 : x
  2. Step 2: Convert to fraction form
    918.20/1,378.01 = 370.78/x
  3. Step 3: Cross multiply
    918.20x = 1,378.01 × 370.78
  4. Step 4: Simplify right side
    918.20x = 510,936.03
  5. Step 5: Solve for x
    x = 510,936.03/918.20
  6. Step 6: Final answer
    x = 556.45

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1.5x scale

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.