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Finding the Fourth Proportional to 407.83, 611.14 and 243.13

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Solution

The fourth proportional to 407.83, 611.14 and 243.13 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 611.14 = 243.13 : x
  2. Step 2: Convert to fraction form
    407.83/611.14 = 243.13/x
  3. Step 3: Cross multiply
    407.83x = 611.14 × 243.13
  4. Step 4: Simplify right side
    407.83x = 148,586.47
  5. Step 5: Solve for x
    x = 148,586.47/407.83
  6. Step 6: Final answer
    x = 364.33

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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.