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Finding the Fourth Proportional to 432.81, 597.36 and 299.99

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Solution

The fourth proportional to 432.81, 597.36 and 299.99 is: 414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 597.36 = 299.99 : x
  2. Step 2: Convert to fraction form
    432.81/597.36 = 299.99/x
  3. Step 3: Cross multiply
    432.81x = 597.36 × 299.99
  4. Step 4: Simplify right side
    432.81x = 179,199.60
  5. Step 5: Solve for x
    x = 179,199.60/432.81
  6. Step 6: Final answer
    x = 414.04

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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.