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Finding the Fourth Proportional to 428.60, 643.80 and 413.30

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Solution

The fourth proportional to 428.60, 643.80 and 413.30 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.60 : 643.80 = 413.30 : x
  2. Step 2: Convert to fraction form
    428.60/643.80 = 413.30/x
  3. Step 3: Cross multiply
    428.60x = 643.80 × 413.30
  4. Step 4: Simplify right side
    428.60x = 266,082.54
  5. Step 5: Solve for x
    x = 266,082.54/428.60
  6. Step 6: Final answer
    x = 620.82

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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.