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Finding the Fourth Proportional to 431.10, 645.42 and 322.56

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Solution

The fourth proportional to 431.10, 645.42 and 322.56 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 645.42 = 322.56 : x
  2. Step 2: Convert to fraction form
    431.10/645.42 = 322.56/x
  3. Step 3: Cross multiply
    431.10x = 645.42 × 322.56
  4. Step 4: Simplify right side
    431.10x = 208,186.68
  5. Step 5: Solve for x
    x = 208,186.68/431.10
  6. Step 6: Final answer
    x = 482.92

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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.