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Finding the Fourth Proportional to 431.68, 650.10 and 378.22

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Solution

The fourth proportional to 431.68, 650.10 and 378.22 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 650.10 = 378.22 : x
  2. Step 2: Convert to fraction form
    431.68/650.10 = 378.22/x
  3. Step 3: Cross multiply
    431.68x = 650.10 × 378.22
  4. Step 4: Simplify right side
    431.68x = 245,880.82
  5. Step 5: Solve for x
    x = 245,880.82/431.68
  6. Step 6: Final answer
    x = 569.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.