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Finding the Fourth Proportional to 940.28, 1,410.64 and 392.15

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Solution

The fourth proportional to 940.28, 1,410.64 and 392.15 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.28 : 1,410.64 = 392.15 : x
  2. Step 2: Convert to fraction form
    940.28/1,410.64 = 392.15/x
  3. Step 3: Cross multiply
    940.28x = 1,410.64 × 392.15
  4. Step 4: Simplify right side
    940.28x = 553,185.02
  5. Step 5: Solve for x
    x = 553,185.02/940.28
  6. Step 6: Final answer
    x = 588.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.