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Finding the Fourth Proportional to 532.10, 799.41 and 313.29

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Solution

The fourth proportional to 532.10, 799.41 and 313.29 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 799.41 = 313.29 : x
  2. Step 2: Convert to fraction form
    532.10/799.41 = 313.29/x
  3. Step 3: Cross multiply
    532.10x = 799.41 × 313.29
  4. Step 4: Simplify right side
    532.10x = 250,446.57
  5. Step 5: Solve for x
    x = 250,446.57/532.10
  6. Step 6: Final answer
    x = 470.67

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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.