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Finding the Fourth Proportional to 432, 594.24 and 414.24

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Solution

The fourth proportional to 432, 594.24 and 414.24 is: 569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 594.24 = 414.24 : x
  2. Step 2: Convert to fraction form
    432/594.24 = 414.24/x
  3. Step 3: Cross multiply
    432x = 594.24 × 414.24
  4. Step 4: Simplify right side
    432x = 246,157.98
  5. Step 5: Solve for x
    x = 246,157.98/432
  6. Step 6: Final answer
    x = 569.81

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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.