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Finding the Fourth Proportional to 449.32, 673.98 and 312.52

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Solution

The fourth proportional to 449.32, 673.98 and 312.52 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 673.98 = 312.52 : x
  2. Step 2: Convert to fraction form
    449.32/673.98 = 312.52/x
  3. Step 3: Cross multiply
    449.32x = 673.98 × 312.52
  4. Step 4: Simplify right side
    449.32x = 210,632.23
  5. Step 5: Solve for x
    x = 210,632.23/449.32
  6. Step 6: Final answer
    x = 468.78

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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.