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Finding the Fourth Proportional to 406.49, 610.27 and 352.01

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Solution

The fourth proportional to 406.49, 610.27 and 352.01 is: 528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 610.27 = 352.01 : x
  2. Step 2: Convert to fraction form
    406.49/610.27 = 352.01/x
  3. Step 3: Cross multiply
    406.49x = 610.27 × 352.01
  4. Step 4: Simplify right side
    406.49x = 214,821.79
  5. Step 5: Solve for x
    x = 214,821.79/406.49
  6. Step 6: Final answer
    x = 528.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.