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Finding the Fourth Proportional to 529.72, 794.90 and 408.28

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Solution

The fourth proportional to 529.72, 794.90 and 408.28 is: 612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 794.90 = 408.28 : x
  2. Step 2: Convert to fraction form
    529.72/794.90 = 408.28/x
  3. Step 3: Cross multiply
    529.72x = 794.90 × 408.28
  4. Step 4: Simplify right side
    529.72x = 324,541.77
  5. Step 5: Solve for x
    x = 324,541.77/529.72
  6. Step 6: Final answer
    x = 612.67

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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.