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Finding the Fourth Proportional to 628.40, 942.60 and 412.40

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Solution

The fourth proportional to 628.40, 942.60 and 412.40 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.40 : 942.60 = 412.40 : x
  2. Step 2: Convert to fraction form
    628.40/942.60 = 412.40/x
  3. Step 3: Cross multiply
    628.40x = 942.60 × 412.40
  4. Step 4: Simplify right side
    628.40x = 388,728.24
  5. Step 5: Solve for x
    x = 388,728.24/628.40
  6. Step 6: Final answer
    x = 618.60

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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.