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Finding the Fourth Proportional to 503.43, 756.57 and 298.04

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Solution

The fourth proportional to 503.43, 756.57 and 298.04 is: 447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.43 : 756.57 = 298.04 : x
  2. Step 2: Convert to fraction form
    503.43/756.57 = 298.04/x
  3. Step 3: Cross multiply
    503.43x = 756.57 × 298.04
  4. Step 4: Simplify right side
    503.43x = 225,484.34
  5. Step 5: Solve for x
    x = 225,484.34/503.43
  6. Step 6: Final answer
    x = 447.90

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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.