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Finding the Fourth Proportional to 467.16, 649.83 and 458.25

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Solution

The fourth proportional to 467.16, 649.83 and 458.25 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 649.83 = 458.25 : x
  2. Step 2: Convert to fraction form
    467.16/649.83 = 458.25/x
  3. Step 3: Cross multiply
    467.16x = 649.83 × 458.25
  4. Step 4: Simplify right side
    467.16x = 297,784.60
  5. Step 5: Solve for x
    x = 297,784.60/467.16
  6. Step 6: Final answer
    x = 637.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.