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Finding the Fourth Proportional to 432.28, 596.56 and 257.59

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Solution

The fourth proportional to 432.28, 596.56 and 257.59 is: 355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 596.56 = 257.59 : x
  2. Step 2: Convert to fraction form
    432.28/596.56 = 257.59/x
  3. Step 3: Cross multiply
    432.28x = 596.56 × 257.59
  4. Step 4: Simplify right side
    432.28x = 153,667.89
  5. Step 5: Solve for x
    x = 153,667.89/432.28
  6. Step 6: Final answer
    x = 355.48

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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.