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Finding the Fourth Proportional to 406.83, 609.93 and 291.40

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Solution

The fourth proportional to 406.83, 609.93 and 291.40 is: 436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 609.93 = 291.40 : x
  2. Step 2: Convert to fraction form
    406.83/609.93 = 291.40/x
  3. Step 3: Cross multiply
    406.83x = 609.93 × 291.40
  4. Step 4: Simplify right side
    406.83x = 177,733.60
  5. Step 5: Solve for x
    x = 177,733.60/406.83
  6. Step 6: Final answer
    x = 436.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.