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Finding the Fourth Proportional to 503.55, 694.82 and 282.45

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Solution

The fourth proportional to 503.55, 694.82 and 282.45 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 694.82 = 282.45 : x
  2. Step 2: Convert to fraction form
    503.55/694.82 = 282.45/x
  3. Step 3: Cross multiply
    503.55x = 694.82 × 282.45
  4. Step 4: Simplify right side
    503.55x = 196,251.03
  5. Step 5: Solve for x
    x = 196,251.03/503.55
  6. Step 6: Final answer
    x = 389.74

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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.