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Finding the Fourth Proportional to 431.44, 595.43 and 265.69

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Solution

The fourth proportional to 431.44, 595.43 and 265.69 is: 366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 595.43 = 265.69 : x
  2. Step 2: Convert to fraction form
    431.44/595.43 = 265.69/x
  3. Step 3: Cross multiply
    431.44x = 595.43 × 265.69
  4. Step 4: Simplify right side
    431.44x = 158,199.80
  5. Step 5: Solve for x
    x = 158,199.80/431.44
  6. Step 6: Final answer
    x = 366.68

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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.