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Finding the Fourth Proportional to 631.61, 945.28 and 520.64

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Solution

The fourth proportional to 631.61, 945.28 and 520.64 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.61 : 945.28 = 520.64 : x
  2. Step 2: Convert to fraction form
    631.61/945.28 = 520.64/x
  3. Step 3: Cross multiply
    631.61x = 945.28 × 520.64
  4. Step 4: Simplify right side
    631.61x = 492,150.58
  5. Step 5: Solve for x
    x = 492,150.58/631.61
  6. Step 6: Final answer
    x = 779.20

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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.