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Finding the Fourth Proportional to 654.54, 903.06 and 392.10

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Solution

The fourth proportional to 654.54, 903.06 and 392.10 is: 540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 903.06 = 392.10 : x
  2. Step 2: Convert to fraction form
    654.54/903.06 = 392.10/x
  3. Step 3: Cross multiply
    654.54x = 903.06 × 392.10
  4. Step 4: Simplify right side
    654.54x = 354,089.83
  5. Step 5: Solve for x
    x = 354,089.83/654.54
  6. Step 6: Final answer
    x = 540.98

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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.