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Finding the Fourth Proportional to 430.97, 646.25 and 225.32

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Solution

The fourth proportional to 430.97, 646.25 and 225.32 is: 337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.97 : 646.25 = 225.32 : x
  2. Step 2: Convert to fraction form
    430.97/646.25 = 225.32/x
  3. Step 3: Cross multiply
    430.97x = 646.25 × 225.32
  4. Step 4: Simplify right side
    430.97x = 145,608.69
  5. Step 5: Solve for x
    x = 145,608.69/430.97
  6. Step 6: Final answer
    x = 337.87

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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.