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Finding the Fourth Proportional to 503.19, 694.17 and 345.60

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Solution

The fourth proportional to 503.19, 694.17 and 345.60 is: 476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.19 : 694.17 = 345.60 : x
  2. Step 2: Convert to fraction form
    503.19/694.17 = 345.60/x
  3. Step 3: Cross multiply
    503.19x = 694.17 × 345.60
  4. Step 4: Simplify right side
    503.19x = 239,905.15
  5. Step 5: Solve for x
    x = 239,905.15/503.19
  6. Step 6: Final answer
    x = 476.77

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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.