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Finding the Fourth Proportional to 430.12, 644.08 and 276.22

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Solution

The fourth proportional to 430.12, 644.08 and 276.22 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 644.08 = 276.22 : x
  2. Step 2: Convert to fraction form
    430.12/644.08 = 276.22/x
  3. Step 3: Cross multiply
    430.12x = 644.08 × 276.22
  4. Step 4: Simplify right side
    430.12x = 177,907.78
  5. Step 5: Solve for x
    x = 177,907.78/430.12
  6. Step 6: Final answer
    x = 413.62

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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.