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Finding the Fourth Proportional to 611.52, 917.76 and 395.28

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Solution

The fourth proportional to 611.52, 917.76 and 395.28 is: 593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.52 : 917.76 = 395.28 : x
  2. Step 2: Convert to fraction form
    611.52/917.76 = 395.28/x
  3. Step 3: Cross multiply
    611.52x = 917.76 × 395.28
  4. Step 4: Simplify right side
    611.52x = 362,772.17
  5. Step 5: Solve for x
    x = 362,772.17/611.52
  6. Step 6: Final answer
    x = 593.23

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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.