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Finding the Fourth Proportional to 340.56, 509.40 and 289.26

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Solution

The fourth proportional to 340.56, 509.40 and 289.26 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 509.40 = 289.26 : x
  2. Step 2: Convert to fraction form
    340.56/509.40 = 289.26/x
  3. Step 3: Cross multiply
    340.56x = 509.40 × 289.26
  4. Step 4: Simplify right side
    340.56x = 147,349.04
  5. Step 5: Solve for x
    x = 147,349.04/340.56
  6. Step 6: Final answer
    x = 432.67

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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.