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Finding the Fourth Proportional to 430.10, 645.16 and 408.22

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Solution

The fourth proportional to 430.10, 645.16 and 408.22 is: 612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 645.16 = 408.22 : x
  2. Step 2: Convert to fraction form
    430.10/645.16 = 408.22/x
  3. Step 3: Cross multiply
    430.10x = 645.16 × 408.22
  4. Step 4: Simplify right side
    430.10x = 263,367.22
  5. Step 5: Solve for x
    x = 263,367.22/430.10
  6. Step 6: Final answer
    x = 612.34

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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.