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Finding the Fourth Proportional to 405.94, 609.13 and 314.81

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Solution

The fourth proportional to 405.94, 609.13 and 314.81 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.94 : 609.13 = 314.81 : x
  2. Step 2: Convert to fraction form
    405.94/609.13 = 314.81/x
  3. Step 3: Cross multiply
    405.94x = 609.13 × 314.81
  4. Step 4: Simplify right side
    405.94x = 191,760.22
  5. Step 5: Solve for x
    x = 191,760.22/405.94
  6. Step 6: Final answer
    x = 472.39

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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.