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Finding the Fourth Proportional to 458.46, 687.69 and 214.98

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Solution

The fourth proportional to 458.46, 687.69 and 214.98 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 687.69 = 214.98 : x
  2. Step 2: Convert to fraction form
    458.46/687.69 = 214.98/x
  3. Step 3: Cross multiply
    458.46x = 687.69 × 214.98
  4. Step 4: Simplify right side
    458.46x = 147,839.60
  5. Step 5: Solve for x
    x = 147,839.60/458.46
  6. Step 6: Final answer
    x = 322.47

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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.