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Finding the Fourth Proportional to 503.96, 754.50 and 320.92

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Solution

The fourth proportional to 503.96, 754.50 and 320.92 is: 480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.96 : 754.50 = 320.92 : x
  2. Step 2: Convert to fraction form
    503.96/754.50 = 320.92/x
  3. Step 3: Cross multiply
    503.96x = 754.50 × 320.92
  4. Step 4: Simplify right side
    503.96x = 242,134.14
  5. Step 5: Solve for x
    x = 242,134.14/503.96
  6. Step 6: Final answer
    x = 480.46

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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.