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Finding the Fourth Proportional to 457.98, 687.42 and 214.68

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Solution

The fourth proportional to 457.98, 687.42 and 214.68 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 687.42 = 214.68 : x
  2. Step 2: Convert to fraction form
    457.98/687.42 = 214.68/x
  3. Step 3: Cross multiply
    457.98x = 687.42 × 214.68
  4. Step 4: Simplify right side
    457.98x = 147,575.33
  5. Step 5: Solve for x
    x = 147,575.33/457.98
  6. Step 6: Final answer
    x = 322.23

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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.