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Finding the Fourth Proportional to 458.25, 687.02 and 311.64

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Solution

The fourth proportional to 458.25, 687.02 and 311.64 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 687.02 = 311.64 : x
  2. Step 2: Convert to fraction form
    458.25/687.02 = 311.64/x
  3. Step 3: Cross multiply
    458.25x = 687.02 × 311.64
  4. Step 4: Simplify right side
    458.25x = 214,101.35
  5. Step 5: Solve for x
    x = 214,101.35/458.25
  6. Step 6: Final answer
    x = 467.22

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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.