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Finding the Fourth Proportional to 455.04, 682.47 and 363.42

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Solution

The fourth proportional to 455.04, 682.47 and 363.42 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 682.47 = 363.42 : x
  2. Step 2: Convert to fraction form
    455.04/682.47 = 363.42/x
  3. Step 3: Cross multiply
    455.04x = 682.47 × 363.42
  4. Step 4: Simplify right side
    455.04x = 248,023.25
  5. Step 5: Solve for x
    x = 248,023.25/455.04
  6. Step 6: Final answer
    x = 545.06

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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.