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Finding the Fourth Proportional to 455.72, 685.32 and 363.38

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Solution

The fourth proportional to 455.72, 685.32 and 363.38 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 685.32 = 363.38 : x
  2. Step 2: Convert to fraction form
    455.72/685.32 = 363.38/x
  3. Step 3: Cross multiply
    455.72x = 685.32 × 363.38
  4. Step 4: Simplify right side
    455.72x = 249,031.58
  5. Step 5: Solve for x
    x = 249,031.58/455.72
  6. Step 6: Final answer
    x = 546.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.