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Finding the Fourth Proportional to 406.64, 561.18 and 259.35

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Solution

The fourth proportional to 406.64, 561.18 and 259.35 is: 357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 561.18 = 259.35 : x
  2. Step 2: Convert to fraction form
    406.64/561.18 = 259.35/x
  3. Step 3: Cross multiply
    406.64x = 561.18 × 259.35
  4. Step 4: Simplify right side
    406.64x = 145,542.03
  5. Step 5: Solve for x
    x = 145,542.03/406.64
  6. Step 6: Final answer
    x = 357.92

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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.