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Finding the Fourth Proportional to 431.90, 596.00 and 257.21

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Solution

The fourth proportional to 431.90, 596.00 and 257.21 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 596.00 = 257.21 : x
  2. Step 2: Convert to fraction form
    431.90/596.00 = 257.21/x
  3. Step 3: Cross multiply
    431.90x = 596.00 × 257.21
  4. Step 4: Simplify right side
    431.90x = 153,295.87
  5. Step 5: Solve for x
    x = 153,295.87/431.90
  6. Step 6: Final answer
    x = 354.93

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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.