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Finding the Fourth Proportional to 407.12, 609.76 and 190.24

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Solution

The fourth proportional to 407.12, 609.76 and 190.24 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 609.76 = 190.24 : x
  2. Step 2: Convert to fraction form
    407.12/609.76 = 190.24/x
  3. Step 3: Cross multiply
    407.12x = 609.76 × 190.24
  4. Step 4: Simplify right side
    407.12x = 116,000.74
  5. Step 5: Solve for x
    x = 116,000.74/407.12
  6. Step 6: Final answer
    x = 284.93

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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.