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Finding the Fourth Proportional to 589.82, 813.65 and 403.31

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Solution

The fourth proportional to 589.82, 813.65 and 403.31 is: 556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 813.65 = 403.31 : x
  2. Step 2: Convert to fraction form
    589.82/813.65 = 403.31/x
  3. Step 3: Cross multiply
    589.82x = 813.65 × 403.31
  4. Step 4: Simplify right side
    589.82x = 328,153.20
  5. Step 5: Solve for x
    x = 328,153.20/589.82
  6. Step 6: Final answer
    x = 556.37

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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.