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Finding the Fourth Proportional to 432.54, 596.58 and 257.88

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Solution

The fourth proportional to 432.54, 596.58 and 257.88 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 596.58 = 257.88 : x
  2. Step 2: Convert to fraction form
    432.54/596.58 = 257.88/x
  3. Step 3: Cross multiply
    432.54x = 596.58 × 257.88
  4. Step 4: Simplify right side
    432.54x = 153,846.05
  5. Step 5: Solve for x
    x = 153,846.05/432.54
  6. Step 6: Final answer
    x = 355.68

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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.