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Finding the Fourth Proportional to 809.30, 1,214.36 and 346.95

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Solution

The fourth proportional to 809.30, 1,214.36 and 346.95 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.30 : 1,214.36 = 346.95 : x
  2. Step 2: Convert to fraction form
    809.30/1,214.36 = 346.95/x
  3. Step 3: Cross multiply
    809.30x = 1,214.36 × 346.95
  4. Step 4: Simplify right side
    809.30x = 421,320.47
  5. Step 5: Solve for x
    x = 421,320.47/809.30
  6. Step 6: Final answer
    x = 520.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.