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Finding the Fourth Proportional to 406.35, 561.15 and 259.34

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Solution

The fourth proportional to 406.35, 561.15 and 259.34 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.35 : 561.15 = 259.34 : x
  2. Step 2: Convert to fraction form
    406.35/561.15 = 259.34/x
  3. Step 3: Cross multiply
    406.35x = 561.15 × 259.34
  4. Step 4: Simplify right side
    406.35x = 145,525.84
  5. Step 5: Solve for x
    x = 145,525.84/406.35
  6. Step 6: Final answer
    x = 358.13

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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.