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Finding the Fourth Proportional to 589.34, 813.65 and 393.18

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Solution

The fourth proportional to 589.34, 813.65 and 393.18 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 813.65 = 393.18 : x
  2. Step 2: Convert to fraction form
    589.34/813.65 = 393.18/x
  3. Step 3: Cross multiply
    589.34x = 813.65 × 393.18
  4. Step 4: Simplify right side
    589.34x = 319,908.94
  5. Step 5: Solve for x
    x = 319,908.94/589.34
  6. Step 6: Final answer
    x = 542.83

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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.