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Finding the Fourth Proportional to 931.52, 1,397.28 and 383.56

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Solution

The fourth proportional to 931.52, 1,397.28 and 383.56 is: 575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.52 : 1,397.28 = 383.56 : x
  2. Step 2: Convert to fraction form
    931.52/1,397.28 = 383.56/x
  3. Step 3: Cross multiply
    931.52x = 1,397.28 × 383.56
  4. Step 4: Simplify right side
    931.52x = 535,940.72
  5. Step 5: Solve for x
    x = 535,940.72/931.52
  6. Step 6: Final answer
    x = 575.34

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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.