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Finding the Fourth Proportional to 654.86, 903.66 and 392.78

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Solution

The fourth proportional to 654.86, 903.66 and 392.78 is: 542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 903.66 = 392.78 : x
  2. Step 2: Convert to fraction form
    654.86/903.66 = 392.78/x
  3. Step 3: Cross multiply
    654.86x = 903.66 × 392.78
  4. Step 4: Simplify right side
    654.86x = 354,939.57
  5. Step 5: Solve for x
    x = 354,939.57/654.86
  6. Step 6: Final answer
    x = 542.01

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