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Finding the Fourth Proportional to 458.53, 687.71 and 184.82

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Solution

The fourth proportional to 458.53, 687.71 and 184.82 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 687.71 = 184.82 : x
  2. Step 2: Convert to fraction form
    458.53/687.71 = 184.82/x
  3. Step 3: Cross multiply
    458.53x = 687.71 × 184.82
  4. Step 4: Simplify right side
    458.53x = 127,099.59
  5. Step 5: Solve for x
    x = 127,099.59/458.53
  6. Step 6: Final answer
    x = 277.19

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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.