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Finding the Fourth Proportional to 522.64, 721.20 and 312.82

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Solution

The fourth proportional to 522.64, 721.20 and 312.82 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 721.20 = 312.82 : x
  2. Step 2: Convert to fraction form
    522.64/721.20 = 312.82/x
  3. Step 3: Cross multiply
    522.64x = 721.20 × 312.82
  4. Step 4: Simplify right side
    522.64x = 225,605.78
  5. Step 5: Solve for x
    x = 225,605.78/522.64
  6. Step 6: Final answer
    x = 431.67

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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.