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Finding the Fourth Proportional to 406.78, 609.50 and 309.14

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Solution

The fourth proportional to 406.78, 609.50 and 309.14 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 609.50 = 309.14 : x
  2. Step 2: Convert to fraction form
    406.78/609.50 = 309.14/x
  3. Step 3: Cross multiply
    406.78x = 609.50 × 309.14
  4. Step 4: Simplify right side
    406.78x = 188,420.83
  5. Step 5: Solve for x
    x = 188,420.83/406.78
  6. Step 6: Final answer
    x = 463.20

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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.