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Finding the Fourth Proportional to 509.82, 703.72 and 385.48

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Solution

The fourth proportional to 509.82, 703.72 and 385.48 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 703.72 = 385.48 : x
  2. Step 2: Convert to fraction form
    509.82/703.72 = 385.48/x
  3. Step 3: Cross multiply
    509.82x = 703.72 × 385.48
  4. Step 4: Simplify right side
    509.82x = 271,269.99
  5. Step 5: Solve for x
    x = 271,269.99/509.82
  6. Step 6: Final answer
    x = 532.09

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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.