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Finding the Fourth Proportional to 432.50, 596.86 and 257.82

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Solution

The fourth proportional to 432.50, 596.86 and 257.82 is: 355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.50 : 596.86 = 257.82 : x
  2. Step 2: Convert to fraction form
    432.50/596.86 = 257.82/x
  3. Step 3: Cross multiply
    432.50x = 596.86 × 257.82
  4. Step 4: Simplify right side
    432.50x = 153,882.45
  5. Step 5: Solve for x
    x = 153,882.45/432.50
  6. Step 6: Final answer
    x = 355.80

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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.