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Finding the Fourth Proportional to 407.04, 609.84 and 338.16

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Solution

The fourth proportional to 407.04, 609.84 and 338.16 is: 506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 609.84 = 338.16 : x
  2. Step 2: Convert to fraction form
    407.04/609.84 = 338.16/x
  3. Step 3: Cross multiply
    407.04x = 609.84 × 338.16
  4. Step 4: Simplify right side
    407.04x = 206,223.49
  5. Step 5: Solve for x
    x = 206,223.49/407.04
  6. Step 6: Final answer
    x = 506.64

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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.