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Finding the Fourth Proportional to 503.36, 753.92 and 382.40

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Solution

The fourth proportional to 503.36, 753.92 and 382.40 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.36 : 753.92 = 382.40 : x
  2. Step 2: Convert to fraction form
    503.36/753.92 = 382.40/x
  3. Step 3: Cross multiply
    503.36x = 753.92 × 382.40
  4. Step 4: Simplify right side
    503.36x = 288,299.01
  5. Step 5: Solve for x
    x = 288,299.01/503.36
  6. Step 6: Final answer
    x = 572.75

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Why These Related Problems?

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