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Finding the Fourth Proportional to 432.24, 596.52 and 257.64

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Solution

The fourth proportional to 432.24, 596.52 and 257.64 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.52 = 257.64 : x
  2. Step 2: Convert to fraction form
    432.24/596.52 = 257.64/x
  3. Step 3: Cross multiply
    432.24x = 596.52 × 257.64
  4. Step 4: Simplify right side
    432.24x = 153,687.41
  5. Step 5: Solve for x
    x = 153,687.41/432.24
  6. Step 6: Final answer
    x = 355.56

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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.