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Finding the Fourth Proportional to 509.21, 762.66 and 398.63

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Solution

The fourth proportional to 509.21, 762.66 and 398.63 is: 597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.21 : 762.66 = 398.63 : x
  2. Step 2: Convert to fraction form
    509.21/762.66 = 398.63/x
  3. Step 3: Cross multiply
    509.21x = 762.66 × 398.63
  4. Step 4: Simplify right side
    509.21x = 304,019.16
  5. Step 5: Solve for x
    x = 304,019.16/509.21
  6. Step 6: Final answer
    x = 597.04

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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.