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Finding the Fourth Proportional to 608.64, 911.52 and 463.20

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Solution

The fourth proportional to 608.64, 911.52 and 463.20 is: 693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 911.52 = 463.20 : x
  2. Step 2: Convert to fraction form
    608.64/911.52 = 463.20/x
  3. Step 3: Cross multiply
    608.64x = 911.52 × 463.20
  4. Step 4: Simplify right side
    608.64x = 422,216.06
  5. Step 5: Solve for x
    x = 422,216.06/608.64
  6. Step 6: Final answer
    x = 693.70

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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.