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Finding the Fourth Proportional to 509.04, 759.80 and 444.57

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Solution

The fourth proportional to 509.04, 759.80 and 444.57 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 759.80 = 444.57 : x
  2. Step 2: Convert to fraction form
    509.04/759.80 = 444.57/x
  3. Step 3: Cross multiply
    509.04x = 759.80 × 444.57
  4. Step 4: Simplify right side
    509.04x = 337,782.06
  5. Step 5: Solve for x
    x = 337,782.06/509.04
  6. Step 6: Final answer
    x = 663.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.