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Finding the Fourth Proportional to 654.47, 903.32 and 392.43

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Solution

The fourth proportional to 654.47, 903.32 and 392.43 is: 541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.47 : 903.32 = 392.43 : x
  2. Step 2: Convert to fraction form
    654.47/903.32 = 392.43/x
  3. Step 3: Cross multiply
    654.47x = 903.32 × 392.43
  4. Step 4: Simplify right side
    654.47x = 354,489.87
  5. Step 5: Solve for x
    x = 354,489.87/654.47
  6. Step 6: Final answer
    x = 541.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.