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Finding the Fourth Proportional to 432.16, 596.32 and 257.52

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Solution

The fourth proportional to 432.16, 596.32 and 257.52 is: 355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.32 = 257.52 : x
  2. Step 2: Convert to fraction form
    432.16/596.32 = 257.52/x
  3. Step 3: Cross multiply
    432.16x = 596.32 × 257.52
  4. Step 4: Simplify right side
    432.16x = 153,564.33
  5. Step 5: Solve for x
    x = 153,564.33/432.16
  6. Step 6: Final answer
    x = 355.34

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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.