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Finding the Fourth Proportional to 437.20, 603.20 and 289.68

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Solution

The fourth proportional to 437.20, 603.20 and 289.68 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 603.20 = 289.68 : x
  2. Step 2: Convert to fraction form
    437.20/603.20 = 289.68/x
  3. Step 3: Cross multiply
    437.20x = 603.20 × 289.68
  4. Step 4: Simplify right side
    437.20x = 174,731.81
  5. Step 5: Solve for x
    x = 174,731.81/437.20
  6. Step 6: Final answer
    x = 399.66

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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.