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Finding the Fourth Proportional to 654.85, 903.63 and 392.86

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Solution

The fourth proportional to 654.85, 903.63 and 392.86 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 903.63 = 392.86 : x
  2. Step 2: Convert to fraction form
    654.85/903.63 = 392.86/x
  3. Step 3: Cross multiply
    654.85x = 903.63 × 392.86
  4. Step 4: Simplify right side
    654.85x = 355,000.08
  5. Step 5: Solve for x
    x = 355,000.08/654.85
  6. Step 6: Final answer
    x = 542.11

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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.