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Finding the Fourth Proportional to 431.77, 595.73 and 274.12

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Solution

The fourth proportional to 431.77, 595.73 and 274.12 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 595.73 = 274.12 : x
  2. Step 2: Convert to fraction form
    431.77/595.73 = 274.12/x
  3. Step 3: Cross multiply
    431.77x = 595.73 × 274.12
  4. Step 4: Simplify right side
    431.77x = 163,300.14
  5. Step 5: Solve for x
    x = 163,300.14/431.77
  6. Step 6: Final answer
    x = 378.21

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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.