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Finding the Fourth Proportional to 522.72, 721.23 and 312.86

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Solution

The fourth proportional to 522.72, 721.23 and 312.86 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 721.23 = 312.86 : x
  2. Step 2: Convert to fraction form
    522.72/721.23 = 312.86/x
  3. Step 3: Cross multiply
    522.72x = 721.23 × 312.86
  4. Step 4: Simplify right side
    522.72x = 225,644.02
  5. Step 5: Solve for x
    x = 225,644.02/522.72
  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.