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Finding the Fourth Proportional to 960.10, 1,440.29 and 412.28

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Solution

The fourth proportional to 960.10, 1,440.29 and 412.28 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.10 : 1,440.29 = 412.28 : x
  2. Step 2: Convert to fraction form
    960.10/1,440.29 = 412.28/x
  3. Step 3: Cross multiply
    960.10x = 1,440.29 × 412.28
  4. Step 4: Simplify right side
    960.10x = 593,793.50
  5. Step 5: Solve for x
    x = 593,793.50/960.10
  6. Step 6: Final answer
    x = 618.47

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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.