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Finding the Fourth Proportional to 523.87, 784.92 and 292.63

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Solution

The fourth proportional to 523.87, 784.92 and 292.63 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 784.92 = 292.63 : x
  2. Step 2: Convert to fraction form
    523.87/784.92 = 292.63/x
  3. Step 3: Cross multiply
    523.87x = 784.92 × 292.63
  4. Step 4: Simplify right side
    523.87x = 229,691.14
  5. Step 5: Solve for x
    x = 229,691.14/523.87
  6. Step 6: Final answer
    x = 438.45

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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.