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Finding the Fourth Proportional to 503.02, 693.25 and 355.42

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Solution

The fourth proportional to 503.02, 693.25 and 355.42 is: 489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.02 : 693.25 = 355.42 : x
  2. Step 2: Convert to fraction form
    503.02/693.25 = 355.42/x
  3. Step 3: Cross multiply
    503.02x = 693.25 × 355.42
  4. Step 4: Simplify right side
    503.02x = 246,394.92
  5. Step 5: Solve for x
    x = 246,394.92/503.02
  6. Step 6: Final answer
    x = 489.83

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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.