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Finding the Fourth Proportional to 506.04, 759.80 and 287.08

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Solution

The fourth proportional to 506.04, 759.80 and 287.08 is: 431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.04 : 759.80 = 287.08 : x
  2. Step 2: Convert to fraction form
    506.04/759.80 = 287.08/x
  3. Step 3: Cross multiply
    506.04x = 759.80 × 287.08
  4. Step 4: Simplify right side
    506.04x = 218,123.38
  5. Step 5: Solve for x
    x = 218,123.38/506.04
  6. Step 6: Final answer
    x = 431.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.