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Finding the Fourth Proportional to 503.06, 694.35 and 293.22

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Solution

The fourth proportional to 503.06, 694.35 and 293.22 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.06 : 694.35 = 293.22 : x
  2. Step 2: Convert to fraction form
    503.06/694.35 = 293.22/x
  3. Step 3: Cross multiply
    503.06x = 694.35 × 293.22
  4. Step 4: Simplify right side
    503.06x = 203,597.31
  5. Step 5: Solve for x
    x = 203,597.31/503.06
  6. Step 6: Final answer
    x = 404.72

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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.