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Finding the Fourth Proportional to 503.88, 696.24 and 364.44

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Solution

The fourth proportional to 503.88, 696.24 and 364.44 is: 503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.88 : 696.24 = 364.44 : x
  2. Step 2: Convert to fraction form
    503.88/696.24 = 364.44/x
  3. Step 3: Cross multiply
    503.88x = 696.24 × 364.44
  4. Step 4: Simplify right side
    503.88x = 253,737.71
  5. Step 5: Solve for x
    x = 253,737.71/503.88
  6. Step 6: Final answer
    x = 503.57

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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.