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Finding the Fourth Proportional to 469.48, 646.26 and 406.44

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Solution

The fourth proportional to 469.48, 646.26 and 406.44 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 646.26 = 406.44 : x
  2. Step 2: Convert to fraction form
    469.48/646.26 = 406.44/x
  3. Step 3: Cross multiply
    469.48x = 646.26 × 406.44
  4. Step 4: Simplify right side
    469.48x = 262,665.91
  5. Step 5: Solve for x
    x = 262,665.91/469.48
  6. Step 6: Final answer
    x = 559.48

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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.