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Finding the Fourth Proportional to 503.60, 758.83 and 414.30

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Solution

The fourth proportional to 503.60, 758.83 and 414.30 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 758.83 = 414.30 : x
  2. Step 2: Convert to fraction form
    503.60/758.83 = 414.30/x
  3. Step 3: Cross multiply
    503.60x = 758.83 × 414.30
  4. Step 4: Simplify right side
    503.60x = 314,383.27
  5. Step 5: Solve for x
    x = 314,383.27/503.60
  6. Step 6: Final answer
    x = 624.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.