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Finding the Fourth Proportional to 432.34, 596.47 and 257.68

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Solution

The fourth proportional to 432.34, 596.47 and 257.68 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.34 : 596.47 = 257.68 : x
  2. Step 2: Convert to fraction form
    432.34/596.47 = 257.68/x
  3. Step 3: Cross multiply
    432.34x = 596.47 × 257.68
  4. Step 4: Simplify right side
    432.34x = 153,698.39
  5. Step 5: Solve for x
    x = 153,698.39/432.34
  6. Step 6: Final answer
    x = 355.50

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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.