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Finding the Fourth Proportional to 628.34, 942.48 and 412.07

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Solution

The fourth proportional to 628.34, 942.48 and 412.07 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 942.48 = 412.07 : x
  2. Step 2: Convert to fraction form
    628.34/942.48 = 412.07/x
  3. Step 3: Cross multiply
    628.34x = 942.48 × 412.07
  4. Step 4: Simplify right side
    628.34x = 388,363.02
  5. Step 5: Solve for x
    x = 388,363.02/628.34
  6. Step 6: Final answer
    x = 618.08

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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.