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Finding the Fourth Proportional to 628.19, 942.28 and 413.13

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Solution

The fourth proportional to 628.19, 942.28 and 413.13 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 942.28 = 413.13 : x
  2. Step 2: Convert to fraction form
    628.19/942.28 = 413.13/x
  3. Step 3: Cross multiply
    628.19x = 942.28 × 413.13
  4. Step 4: Simplify right side
    628.19x = 389,284.14
  5. Step 5: Solve for x
    x = 389,284.14/628.19
  6. Step 6: Final answer
    x = 619.69

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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.