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Finding the Fourth Proportional to 509.59, 763.17 and 346.78

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Solution

The fourth proportional to 509.59, 763.17 and 346.78 is: 519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.59 : 763.17 = 346.78 : x
  2. Step 2: Convert to fraction form
    509.59/763.17 = 346.78/x
  3. Step 3: Cross multiply
    509.59x = 763.17 × 346.78
  4. Step 4: Simplify right side
    509.59x = 264,652.09
  5. Step 5: Solve for x
    x = 264,652.09/509.59
  6. Step 6: Final answer
    x = 519.34

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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.