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Finding the Fourth Proportional to 449.16, 672.84 and 309.90

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Solution

The fourth proportional to 449.16, 672.84 and 309.90 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.16 : 672.84 = 309.90 : x
  2. Step 2: Convert to fraction form
    449.16/672.84 = 309.90/x
  3. Step 3: Cross multiply
    449.16x = 672.84 × 309.90
  4. Step 4: Simplify right side
    449.16x = 208,513.12
  5. Step 5: Solve for x
    x = 208,513.12/449.16
  6. Step 6: Final answer
    x = 464.23

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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.