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Finding the Fourth Proportional to 432.40, 596.64 and 406.12

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Solution

The fourth proportional to 432.40, 596.64 and 406.12 is: 560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 596.64 = 406.12 : x
  2. Step 2: Convert to fraction form
    432.40/596.64 = 406.12/x
  3. Step 3: Cross multiply
    432.40x = 596.64 × 406.12
  4. Step 4: Simplify right side
    432.40x = 242,307.44
  5. Step 5: Solve for x
    x = 242,307.44/432.40
  6. Step 6: Final answer
    x = 560.38

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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.