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Finding the Fourth Proportional to 406.51, 609.81 and 305.08

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Solution

The fourth proportional to 406.51, 609.81 and 305.08 is: 457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.51 : 609.81 = 305.08 : x
  2. Step 2: Convert to fraction form
    406.51/609.81 = 305.08/x
  3. Step 3: Cross multiply
    406.51x = 609.81 × 305.08
  4. Step 4: Simplify right side
    406.51x = 186,040.83
  5. Step 5: Solve for x
    x = 186,040.83/406.51
  6. Step 6: Final answer
    x = 457.65

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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.