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Finding the Fourth Proportional to 431.16, 645.51 and 225.24

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Solution

The fourth proportional to 431.16, 645.51 and 225.24 is: 337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 645.51 = 225.24 : x
  2. Step 2: Convert to fraction form
    431.16/645.51 = 225.24/x
  3. Step 3: Cross multiply
    431.16x = 645.51 × 225.24
  4. Step 4: Simplify right side
    431.16x = 145,394.67
  5. Step 5: Solve for x
    x = 145,394.67/431.16
  6. Step 6: Final answer
    x = 337.22

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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.