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Finding the Fourth Proportional to 656.46, 983.82 and 245.19

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Solution

The fourth proportional to 656.46, 983.82 and 245.19 is: 367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 983.82 = 245.19 : x
  2. Step 2: Convert to fraction form
    656.46/983.82 = 245.19/x
  3. Step 3: Cross multiply
    656.46x = 983.82 × 245.19
  4. Step 4: Simplify right side
    656.46x = 241,222.83
  5. Step 5: Solve for x
    x = 241,222.83/656.46
  6. Step 6: Final answer
    x = 367.46

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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.