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Finding the Fourth Proportional to 354.27, 487.69 and 304.86

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Solution

The fourth proportional to 354.27, 487.69 and 304.86 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.27 : 487.69 = 304.86 : x
  2. Step 2: Convert to fraction form
    354.27/487.69 = 304.86/x
  3. Step 3: Cross multiply
    354.27x = 487.69 × 304.86
  4. Step 4: Simplify right side
    354.27x = 148,677.17
  5. Step 5: Solve for x
    x = 148,677.17/354.27
  6. Step 6: Final answer
    x = 419.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.