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Finding the Fourth Proportional to 656.46, 983.14 and 363.52

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Solution

The fourth proportional to 656.46, 983.14 and 363.52 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 983.14 = 363.52 : x
  2. Step 2: Convert to fraction form
    656.46/983.14 = 363.52/x
  3. Step 3: Cross multiply
    656.46x = 983.14 × 363.52
  4. Step 4: Simplify right side
    656.46x = 357,391.05
  5. Step 5: Solve for x
    x = 357,391.05/656.46
  6. Step 6: Final answer
    x = 544.42

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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.