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Finding the Fourth Proportional to 431.96, 596.10 and 257.30

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Solution

The fourth proportional to 431.96, 596.10 and 257.30 is: 355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 596.10 = 257.30 : x
  2. Step 2: Convert to fraction form
    431.96/596.10 = 257.30/x
  3. Step 3: Cross multiply
    431.96x = 596.10 × 257.30
  4. Step 4: Simplify right side
    431.96x = 153,376.53
  5. Step 5: Solve for x
    x = 153,376.53/431.96
  6. Step 6: Final answer
    x = 355.07

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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.