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Finding the Fourth Proportional to 431.23, 595.52 and 274.15

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Solution

The fourth proportional to 431.23, 595.52 and 274.15 is: 378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.23 : 595.52 = 274.15 : x
  2. Step 2: Convert to fraction form
    431.23/595.52 = 274.15/x
  3. Step 3: Cross multiply
    431.23x = 595.52 × 274.15
  4. Step 4: Simplify right side
    431.23x = 163,261.93
  5. Step 5: Solve for x
    x = 163,261.93/431.23
  6. Step 6: Final answer
    x = 378.60

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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.