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Finding the Fourth Proportional to 503.82, 694.71 and 483.66

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Solution

The fourth proportional to 503.82, 694.71 and 483.66 is: 666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 694.71 = 483.66 : x
  2. Step 2: Convert to fraction form
    503.82/694.71 = 483.66/x
  3. Step 3: Cross multiply
    503.82x = 694.71 × 483.66
  4. Step 4: Simplify right side
    503.82x = 336,003.44
  5. Step 5: Solve for x
    x = 336,003.44/503.82
  6. Step 6: Final answer
    x = 666.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.