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Finding the Fourth Proportional to 432.24, 596.16 and 257.36

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Solution

The fourth proportional to 432.24, 596.16 and 257.36 is: 354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.16 = 257.36 : x
  2. Step 2: Convert to fraction form
    432.24/596.16 = 257.36/x
  3. Step 3: Cross multiply
    432.24x = 596.16 × 257.36
  4. Step 4: Simplify right side
    432.24x = 153,427.74
  5. Step 5: Solve for x
    x = 153,427.74/432.24
  6. Step 6: Final answer
    x = 354.96

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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.