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Finding the Fourth Proportional to 432.36, 596.88 and 301.50

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Solution

The fourth proportional to 432.36, 596.88 and 301.50 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.36 : 596.88 = 301.50 : x
  2. Step 2: Convert to fraction form
    432.36/596.88 = 301.50/x
  3. Step 3: Cross multiply
    432.36x = 596.88 × 301.50
  4. Step 4: Simplify right side
    432.36x = 179,959.32
  5. Step 5: Solve for x
    x = 179,959.32/432.36
  6. Step 6: Final answer
    x = 416.23

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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.