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Finding the Fourth Proportional to 532.83, 735.32 and 311.94

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Solution

The fourth proportional to 532.83, 735.32 and 311.94 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 735.32 = 311.94 : x
  2. Step 2: Convert to fraction form
    532.83/735.32 = 311.94/x
  3. Step 3: Cross multiply
    532.83x = 735.32 × 311.94
  4. Step 4: Simplify right side
    532.83x = 229,374.16
  5. Step 5: Solve for x
    x = 229,374.16/532.83
  6. Step 6: Final answer
    x = 430.48

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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.