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Finding the Fourth Proportional to 431.49, 595.86 and 276.51

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Solution

The fourth proportional to 431.49, 595.86 and 276.51 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 595.86 = 276.51 : x
  2. Step 2: Convert to fraction form
    431.49/595.86 = 276.51/x
  3. Step 3: Cross multiply
    431.49x = 595.86 × 276.51
  4. Step 4: Simplify right side
    431.49x = 164,761.25
  5. Step 5: Solve for x
    x = 164,761.25/431.49
  6. Step 6: Final answer
    x = 381.84

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