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Finding the Fourth Proportional to 503.57, 694.01 and 480.29

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Solution

The fourth proportional to 503.57, 694.01 and 480.29 is: 661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 694.01 = 480.29 : x
  2. Step 2: Convert to fraction form
    503.57/694.01 = 480.29/x
  3. Step 3: Cross multiply
    503.57x = 694.01 × 480.29
  4. Step 4: Simplify right side
    503.57x = 333,320.19
  5. Step 5: Solve for x
    x = 333,320.19/503.57
  6. Step 6: Final answer
    x = 661.92

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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.