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Finding the Fourth Proportional to 601.92, 830.02 and 392.29

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Solution

The fourth proportional to 601.92, 830.02 and 392.29 is: 540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.02 = 392.29 : x
  2. Step 2: Convert to fraction form
    601.92/830.02 = 392.29/x
  3. Step 3: Cross multiply
    601.92x = 830.02 × 392.29
  4. Step 4: Simplify right side
    601.92x = 325,605.49
  5. Step 5: Solve for x
    x = 325,605.49/601.92
  6. Step 6: Final answer
    x = 540.94

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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.