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Finding the Fourth Proportional to 532.96, 735.34 and 311.83

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Solution

The fourth proportional to 532.96, 735.34 and 311.83 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 735.34 = 311.83 : x
  2. Step 2: Convert to fraction form
    532.96/735.34 = 311.83/x
  3. Step 3: Cross multiply
    532.96x = 735.34 × 311.83
  4. Step 4: Simplify right side
    532.96x = 229,301.07
  5. Step 5: Solve for x
    x = 229,301.07/532.96
  6. Step 6: Final answer
    x = 430.24

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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.