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Finding the Fourth Proportional to 514.83, 709.93 and 389.09

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Solution

The fourth proportional to 514.83, 709.93 and 389.09 is: 536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 709.93 = 389.09 : x
  2. Step 2: Convert to fraction form
    514.83/709.93 = 389.09/x
  3. Step 3: Cross multiply
    514.83x = 709.93 × 389.09
  4. Step 4: Simplify right side
    514.83x = 276,223.84
  5. Step 5: Solve for x
    x = 276,223.84/514.83
  6. Step 6: Final answer
    x = 536.53

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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.