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Finding the Fourth Proportional to 458.18, 687.49 and 214.66

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Solution

The fourth proportional to 458.18, 687.49 and 214.66 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 687.49 = 214.66 : x
  2. Step 2: Convert to fraction form
    458.18/687.49 = 214.66/x
  3. Step 3: Cross multiply
    458.18x = 687.49 × 214.66
  4. Step 4: Simplify right side
    458.18x = 147,576.60
  5. Step 5: Solve for x
    x = 147,576.60/458.18
  6. Step 6: Final answer
    x = 322.10

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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.