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Finding the Fourth Proportional to 522.56, 784 and 306.32

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Solution

The fourth proportional to 522.56, 784 and 306.32 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 784 = 306.32 : x
  2. Step 2: Convert to fraction form
    522.56/784 = 306.32/x
  3. Step 3: Cross multiply
    522.56x = 784 × 306.32
  4. Step 4: Simplify right side
    522.56x = 240,154.88
  5. Step 5: Solve for x
    x = 240,154.88/522.56
  6. Step 6: Final answer
    x = 459.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.