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Finding the Fourth Proportional to 913.12, 1,370.10 and 393.28

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Solution

The fourth proportional to 913.12, 1,370.10 and 393.28 is: 590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.12 : 1,370.10 = 393.28 : x
  2. Step 2: Convert to fraction form
    913.12/1,370.10 = 393.28/x
  3. Step 3: Cross multiply
    913.12x = 1,370.10 × 393.28
  4. Step 4: Simplify right side
    913.12x = 538,832.93
  5. Step 5: Solve for x
    x = 538,832.93/913.12
  6. Step 6: Final answer
    x = 590.10

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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.