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Finding the Fourth Proportional to 432.54, 596.70 and 415.98

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Solution

The fourth proportional to 432.54, 596.70 and 415.98 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 596.70 = 415.98 : x
  2. Step 2: Convert to fraction form
    432.54/596.70 = 415.98/x
  3. Step 3: Cross multiply
    432.54x = 596.70 × 415.98
  4. Step 4: Simplify right side
    432.54x = 248,215.27
  5. Step 5: Solve for x
    x = 248,215.27/432.54
  6. Step 6: Final answer
    x = 573.86

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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.