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Finding the Fourth Proportional to 589.47, 813.51 and 340.85

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Solution

The fourth proportional to 589.47, 813.51 and 340.85 is: 470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 813.51 = 340.85 : x
  2. Step 2: Convert to fraction form
    589.47/813.51 = 340.85/x
  3. Step 3: Cross multiply
    589.47x = 813.51 × 340.85
  4. Step 4: Simplify right side
    589.47x = 277,284.88
  5. Step 5: Solve for x
    x = 277,284.88/589.47
  6. Step 6: Final answer
    x = 470.40

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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.