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Finding the Fourth Proportional to 523.65, 784.67 and 340.64

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Solution

The fourth proportional to 523.65, 784.67 and 340.64 is: 510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 784.67 = 340.64 : x
  2. Step 2: Convert to fraction form
    523.65/784.67 = 340.64/x
  3. Step 3: Cross multiply
    523.65x = 784.67 × 340.64
  4. Step 4: Simplify right side
    523.65x = 267,289.99
  5. Step 5: Solve for x
    x = 267,289.99/523.65
  6. Step 6: Final answer
    x = 510.44

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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.