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Finding the Fourth Proportional to 532.83, 735.33 and 296.81

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Solution

The fourth proportional to 532.83, 735.33 and 296.81 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 735.33 = 296.81 : x
  2. Step 2: Convert to fraction form
    532.83/735.33 = 296.81/x
  3. Step 3: Cross multiply
    532.83x = 735.33 × 296.81
  4. Step 4: Simplify right side
    532.83x = 218,255.96
  5. Step 5: Solve for x
    x = 218,255.96/532.83
  6. Step 6: Final answer
    x = 409.62

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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.