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Finding the Fourth Proportional to 509.34, 763.86 and 346.92

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Solution

The fourth proportional to 509.34, 763.86 and 346.92 is: 520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 763.86 = 346.92 : x
  2. Step 2: Convert to fraction form
    509.34/763.86 = 346.92/x
  3. Step 3: Cross multiply
    509.34x = 763.86 × 346.92
  4. Step 4: Simplify right side
    509.34x = 264,998.31
  5. Step 5: Solve for x
    x = 264,998.31/509.34
  6. Step 6: Final answer
    x = 520.28

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