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Finding the Fourth Proportional to 432.06, 595.98 and 299.22

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Solution

The fourth proportional to 432.06, 595.98 and 299.22 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 595.98 = 299.22 : x
  2. Step 2: Convert to fraction form
    432.06/595.98 = 299.22/x
  3. Step 3: Cross multiply
    432.06x = 595.98 × 299.22
  4. Step 4: Simplify right side
    432.06x = 178,329.14
  5. Step 5: Solve for x
    x = 178,329.14/432.06
  6. Step 6: Final answer
    x = 412.74

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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.