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Finding the Fourth Proportional to 503.20, 694.41 and 282.17

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Solution

The fourth proportional to 503.20, 694.41 and 282.17 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 694.41 = 282.17 : x
  2. Step 2: Convert to fraction form
    503.20/694.41 = 282.17/x
  3. Step 3: Cross multiply
    503.20x = 694.41 × 282.17
  4. Step 4: Simplify right side
    503.20x = 195,942.35
  5. Step 5: Solve for x
    x = 195,942.35/503.20
  6. Step 6: Final answer
    x = 389.39

Related Problems

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1.5x scale

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.