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Finding the Fourth Proportional to 431.61, 595.62 and 274.23

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Solution

The fourth proportional to 431.61, 595.62 and 274.23 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.61 : 595.62 = 274.23 : x
  2. Step 2: Convert to fraction form
    431.61/595.62 = 274.23/x
  3. Step 3: Cross multiply
    431.61x = 595.62 × 274.23
  4. Step 4: Simplify right side
    431.61x = 163,336.87
  5. Step 5: Solve for x
    x = 163,336.87/431.61
  6. Step 6: Final answer
    x = 378.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.