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Finding the Fourth Proportional to 430.63, 646.11 and 225.34

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Solution

The fourth proportional to 430.63, 646.11 and 225.34 is: 338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 646.11 = 225.34 : x
  2. Step 2: Convert to fraction form
    430.63/646.11 = 225.34/x
  3. Step 3: Cross multiply
    430.63x = 646.11 × 225.34
  4. Step 4: Simplify right side
    430.63x = 145,594.43
  5. Step 5: Solve for x
    x = 145,594.43/430.63
  6. Step 6: Final answer
    x = 338.10

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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.