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Finding the Fourth Proportional to 406.72, 561.12 and 259.36

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Solution

The fourth proportional to 406.72, 561.12 and 259.36 is: 357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 561.12 = 259.36 : x
  2. Step 2: Convert to fraction form
    406.72/561.12 = 259.36/x
  3. Step 3: Cross multiply
    406.72x = 561.12 × 259.36
  4. Step 4: Simplify right side
    406.72x = 145,532.08
  5. Step 5: Solve for x
    x = 145,532.08/406.72
  6. Step 6: Final answer
    x = 357.82

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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.