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Finding the Fourth Proportional to 406.15, 609.14 and 228.13

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Solution

The fourth proportional to 406.15, 609.14 and 228.13 is: 342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.15 : 609.14 = 228.13 : x
  2. Step 2: Convert to fraction form
    406.15/609.14 = 228.13/x
  3. Step 3: Cross multiply
    406.15x = 609.14 × 228.13
  4. Step 4: Simplify right side
    406.15x = 138,962.16
  5. Step 5: Solve for x
    x = 138,962.16/406.15
  6. Step 6: Final answer
    x = 342.15

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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.