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Finding the Fourth Proportional to 589.34, 813.20 and 340.61

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Solution

The fourth proportional to 589.34, 813.20 and 340.61 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 813.20 = 340.61 : x
  2. Step 2: Convert to fraction form
    589.34/813.20 = 340.61/x
  3. Step 3: Cross multiply
    589.34x = 813.20 × 340.61
  4. Step 4: Simplify right side
    589.34x = 276,987.18
  5. Step 5: Solve for x
    x = 276,987.18/589.34
  6. Step 6: Final answer
    x = 469.99

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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.