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Finding the Fourth Proportional to 458.46, 687.57 and 180.77

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Solution

The fourth proportional to 458.46, 687.57 and 180.77 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 687.57 = 180.77 : x
  2. Step 2: Convert to fraction form
    458.46/687.57 = 180.77/x
  3. Step 3: Cross multiply
    458.46x = 687.57 × 180.77
  4. Step 4: Simplify right side
    458.46x = 124,291.13
  5. Step 5: Solve for x
    x = 124,291.13/458.46
  6. Step 6: Final answer
    x = 271.11

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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.