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Finding the Fourth Proportional to 407.91, 609.27 and 349.86

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Solution

The fourth proportional to 407.91, 609.27 and 349.86 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.91 : 609.27 = 349.86 : x
  2. Step 2: Convert to fraction form
    407.91/609.27 = 349.86/x
  3. Step 3: Cross multiply
    407.91x = 609.27 × 349.86
  4. Step 4: Simplify right side
    407.91x = 213,159.20
  5. Step 5: Solve for x
    x = 213,159.20/407.91
  6. Step 6: Final answer
    x = 522.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.