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Finding the Fourth Proportional to 503.19, 694.09 and 314.24

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Solution

The fourth proportional to 503.19, 694.09 and 314.24 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.19 : 694.09 = 314.24 : x
  2. Step 2: Convert to fraction form
    503.19/694.09 = 314.24/x
  3. Step 3: Cross multiply
    503.19x = 694.09 × 314.24
  4. Step 4: Simplify right side
    503.19x = 218,106.59
  5. Step 5: Solve for x
    x = 218,106.59/503.19
  6. Step 6: Final answer
    x = 433.45

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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.