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Finding the Fourth Proportional to 509.76, 703.08 and 335.34

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Solution

The fourth proportional to 509.76, 703.08 and 335.34 is: 462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 703.08 = 335.34 : x
  2. Step 2: Convert to fraction form
    509.76/703.08 = 335.34/x
  3. Step 3: Cross multiply
    509.76x = 703.08 × 335.34
  4. Step 4: Simplify right side
    509.76x = 235,770.85
  5. Step 5: Solve for x
    x = 235,770.85/509.76
  6. Step 6: Final answer
    x = 462.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.