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Finding the Fourth Proportional to 637.64, 954.84 and 420.56

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Solution

The fourth proportional to 637.64, 954.84 and 420.56 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 954.84 = 420.56 : x
  2. Step 2: Convert to fraction form
    637.64/954.84 = 420.56/x
  3. Step 3: Cross multiply
    637.64x = 954.84 × 420.56
  4. Step 4: Simplify right side
    637.64x = 401,567.51
  5. Step 5: Solve for x
    x = 401,567.51/637.64
  6. Step 6: Final answer
    x = 629.77

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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.