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Finding the Fourth Proportional to 503.40, 694.64 and 293.61

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Solution

The fourth proportional to 503.40, 694.64 and 293.61 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 694.64 = 293.61 : x
  2. Step 2: Convert to fraction form
    503.40/694.64 = 293.61/x
  3. Step 3: Cross multiply
    503.40x = 694.64 × 293.61
  4. Step 4: Simplify right side
    503.40x = 203,953.25
  5. Step 5: Solve for x
    x = 203,953.25/503.40
  6. Step 6: Final answer
    x = 405.15

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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.