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Finding the Fourth Proportional to 522.46, 720.90 and 312.76

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Solution

The fourth proportional to 522.46, 720.90 and 312.76 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.46 : 720.90 = 312.76 : x
  2. Step 2: Convert to fraction form
    522.46/720.90 = 312.76/x
  3. Step 3: Cross multiply
    522.46x = 720.90 × 312.76
  4. Step 4: Simplify right side
    522.46x = 225,468.68
  5. Step 5: Solve for x
    x = 225,468.68/522.46
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.