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Finding the Fourth Proportional to 421.92, 631.80 and 259.92

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Solution

The fourth proportional to 421.92, 631.80 and 259.92 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 631.80 = 259.92 : x
  2. Step 2: Convert to fraction form
    421.92/631.80 = 259.92/x
  3. Step 3: Cross multiply
    421.92x = 631.80 × 259.92
  4. Step 4: Simplify right side
    421.92x = 164,217.46
  5. Step 5: Solve for x
    x = 164,217.46/421.92
  6. Step 6: Final answer
    x = 389.21

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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.