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Finding the Fourth Proportional to 503.08, 693.63 and 337.23

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Solution

The fourth proportional to 503.08, 693.63 and 337.23 is: 464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 693.63 = 337.23 : x
  2. Step 2: Convert to fraction form
    503.08/693.63 = 337.23/x
  3. Step 3: Cross multiply
    503.08x = 693.63 × 337.23
  4. Step 4: Simplify right side
    503.08x = 233,912.84
  5. Step 5: Solve for x
    x = 233,912.84/503.08
  6. Step 6: Final answer
    x = 464.96

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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.