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Finding the Fourth Proportional to 430.01, 644.00 and 408.49

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Solution

The fourth proportional to 430.01, 644.00 and 408.49 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.01 : 644.00 = 408.49 : x
  2. Step 2: Convert to fraction form
    430.01/644.00 = 408.49/x
  3. Step 3: Cross multiply
    430.01x = 644.00 × 408.49
  4. Step 4: Simplify right side
    430.01x = 263,066.32
  5. Step 5: Solve for x
    x = 263,066.32/430.01
  6. Step 6: Final answer
    x = 611.76

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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.