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Finding the Fourth Proportional to 431.68, 595.55 and 282.48

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Solution

The fourth proportional to 431.68, 595.55 and 282.48 is: 389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 595.55 = 282.48 : x
  2. Step 2: Convert to fraction form
    431.68/595.55 = 282.48/x
  3. Step 3: Cross multiply
    431.68x = 595.55 × 282.48
  4. Step 4: Simplify right side
    431.68x = 168,230.96
  5. Step 5: Solve for x
    x = 168,230.96/431.68
  6. Step 6: Final answer
    x = 389.71

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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.