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Finding the Fourth Proportional to 589.38, 813.06 and 392.64

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Solution

The fourth proportional to 589.38, 813.06 and 392.64 is: 541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 813.06 = 392.64 : x
  2. Step 2: Convert to fraction form
    589.38/813.06 = 392.64/x
  3. Step 3: Cross multiply
    589.38x = 813.06 × 392.64
  4. Step 4: Simplify right side
    589.38x = 319,239.88
  5. Step 5: Solve for x
    x = 319,239.88/589.38
  6. Step 6: Final answer
    x = 541.65

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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.