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Finding the Fourth Proportional to 406.83, 609.63 and 242.13

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Solution

The fourth proportional to 406.83, 609.63 and 242.13 is: 362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 609.63 = 242.13 : x
  2. Step 2: Convert to fraction form
    406.83/609.63 = 242.13/x
  3. Step 3: Cross multiply
    406.83x = 609.63 × 242.13
  4. Step 4: Simplify right side
    406.83x = 147,609.71
  5. Step 5: Solve for x
    x = 147,609.71/406.83
  6. Step 6: Final answer
    x = 362.83

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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.