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Finding the Fourth Proportional to 532.83, 735.16 and 320.20

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Solution

The fourth proportional to 532.83, 735.16 and 320.20 is: 441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 735.16 = 320.20 : x
  2. Step 2: Convert to fraction form
    532.83/735.16 = 320.20/x
  3. Step 3: Cross multiply
    532.83x = 735.16 × 320.20
  4. Step 4: Simplify right side
    532.83x = 235,398.75
  5. Step 5: Solve for x
    x = 235,398.75/532.83
  6. Step 6: Final answer
    x = 441.79

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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.