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Finding the Fourth Proportional to 503.06, 754.79 and 400.73

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Solution

The fourth proportional to 503.06, 754.79 and 400.73 is: 601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.06 : 754.79 = 400.73 : x
  2. Step 2: Convert to fraction form
    503.06/754.79 = 400.73/x
  3. Step 3: Cross multiply
    503.06x = 754.79 × 400.73
  4. Step 4: Simplify right side
    503.06x = 302,461.22
  5. Step 5: Solve for x
    x = 302,461.22/503.06
  6. Step 6: Final answer
    x = 601.25

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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.