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Finding the Fourth Proportional to 589.50, 813.54 and 340.80

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Solution

The fourth proportional to 589.50, 813.54 and 340.80 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 813.54 = 340.80 : x
  2. Step 2: Convert to fraction form
    589.50/813.54 = 340.80/x
  3. Step 3: Cross multiply
    589.50x = 813.54 × 340.80
  4. Step 4: Simplify right side
    589.50x = 277,254.43
  5. Step 5: Solve for x
    x = 277,254.43/589.50
  6. Step 6: Final answer
    x = 470.32

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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.