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Finding the Fourth Proportional to 432.84, 597.24 and 301.80

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Solution

The fourth proportional to 432.84, 597.24 and 301.80 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 597.24 = 301.80 : x
  2. Step 2: Convert to fraction form
    432.84/597.24 = 301.80/x
  3. Step 3: Cross multiply
    432.84x = 597.24 × 301.80
  4. Step 4: Simplify right side
    432.84x = 180,247.03
  5. Step 5: Solve for x
    x = 180,247.03/432.84
  6. Step 6: Final answer
    x = 416.43

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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.