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Finding the Fourth Proportional to 449.02, 673.64 and 319.08

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Solution

The fourth proportional to 449.02, 673.64 and 319.08 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 673.64 = 319.08 : x
  2. Step 2: Convert to fraction form
    449.02/673.64 = 319.08/x
  3. Step 3: Cross multiply
    449.02x = 673.64 × 319.08
  4. Step 4: Simplify right side
    449.02x = 214,945.05
  5. Step 5: Solve for x
    x = 214,945.05/449.02
  6. Step 6: Final answer
    x = 478.70

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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.