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Finding the Fourth Proportional to 420.39, 580.50 and 406.62

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Solution

The fourth proportional to 420.39, 580.50 and 406.62 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 580.50 = 406.62 : x
  2. Step 2: Convert to fraction form
    420.39/580.50 = 406.62/x
  3. Step 3: Cross multiply
    420.39x = 580.50 × 406.62
  4. Step 4: Simplify right side
    420.39x = 236,040.01
  5. Step 5: Solve for x
    x = 236,040.01/420.39
  6. Step 6: Final answer
    x = 561.49

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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.