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Finding the Fourth Proportional to 589.14, 813.06 and 340.54

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Solution

The fourth proportional to 589.14, 813.06 and 340.54 is: 469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 813.06 = 340.54 : x
  2. Step 2: Convert to fraction form
    589.14/813.06 = 340.54/x
  3. Step 3: Cross multiply
    589.14x = 813.06 × 340.54
  4. Step 4: Simplify right side
    589.14x = 276,877.42
  5. Step 5: Solve for x
    x = 276,877.42/589.14
  6. Step 6: Final answer
    x = 469.97

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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.