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Finding the Fourth Proportional to 940.30, 1,410.42 and 392.32

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Solution

The fourth proportional to 940.30, 1,410.42 and 392.32 is: 588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.30 : 1,410.42 = 392.32 : x
  2. Step 2: Convert to fraction form
    940.30/1,410.42 = 392.32/x
  3. Step 3: Cross multiply
    940.30x = 1,410.42 × 392.32
  4. Step 4: Simplify right side
    940.30x = 553,335.97
  5. Step 5: Solve for x
    x = 553,335.97/940.30
  6. Step 6: Final answer
    x = 588.47

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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.