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Finding the Fourth Proportional to 406.66, 561.32 and 259.39

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Solution

The fourth proportional to 406.66, 561.32 and 259.39 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.66 : 561.32 = 259.39 : x
  2. Step 2: Convert to fraction form
    406.66/561.32 = 259.39/x
  3. Step 3: Cross multiply
    406.66x = 561.32 × 259.39
  4. Step 4: Simplify right side
    406.66x = 145,600.79
  5. Step 5: Solve for x
    x = 145,600.79/406.66
  6. Step 6: Final answer
    x = 358.04

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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.