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Finding the Fourth Proportional to 455.72, 682.04 and 249.74

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Solution

The fourth proportional to 455.72, 682.04 and 249.74 is: 373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 682.04 = 249.74 : x
  2. Step 2: Convert to fraction form
    455.72/682.04 = 249.74/x
  3. Step 3: Cross multiply
    455.72x = 682.04 × 249.74
  4. Step 4: Simplify right side
    455.72x = 170,332.67
  5. Step 5: Solve for x
    x = 170,332.67/455.72
  6. Step 6: Final answer
    x = 373.77

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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.