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Finding the Fourth Proportional to 637.24, 954.14 and 441.84

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Solution

The fourth proportional to 637.24, 954.14 and 441.84 is: 661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.24 : 954.14 = 441.84 : x
  2. Step 2: Convert to fraction form
    637.24/954.14 = 441.84/x
  3. Step 3: Cross multiply
    637.24x = 954.14 × 441.84
  4. Step 4: Simplify right side
    637.24x = 421,577.22
  5. Step 5: Solve for x
    x = 421,577.22/637.24
  6. Step 6: Final answer
    x = 661.57

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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.