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Finding the Fourth Proportional to 432.19, 596.41 and 235.70

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Solution

The fourth proportional to 432.19, 596.41 and 235.70 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 596.41 = 235.70 : x
  2. Step 2: Convert to fraction form
    432.19/596.41 = 235.70/x
  3. Step 3: Cross multiply
    432.19x = 596.41 × 235.70
  4. Step 4: Simplify right side
    432.19x = 140,573.84
  5. Step 5: Solve for x
    x = 140,573.84/432.19
  6. Step 6: Final answer
    x = 325.26

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Double scale
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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.