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Finding the Fourth Proportional to 432.35, 596.61 and 235.85

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Solution

The fourth proportional to 432.35, 596.61 and 235.85 is: 325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.35 : 596.61 = 235.85 : x
  2. Step 2: Convert to fraction form
    432.35/596.61 = 235.85/x
  3. Step 3: Cross multiply
    432.35x = 596.61 × 235.85
  4. Step 4: Simplify right side
    432.35x = 140,710.47
  5. Step 5: Solve for x
    x = 140,710.47/432.35
  6. Step 6: Final answer
    x = 325.45

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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.