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Finding the Fourth Proportional to 532.76, 734.63 and 333.52

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Solution

The fourth proportional to 532.76, 734.63 and 333.52 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.76 : 734.63 = 333.52 : x
  2. Step 2: Convert to fraction form
    532.76/734.63 = 333.52/x
  3. Step 3: Cross multiply
    532.76x = 734.63 × 333.52
  4. Step 4: Simplify right side
    532.76x = 245,012.79
  5. Step 5: Solve for x
    x = 245,012.79/532.76
  6. Step 6: Final answer
    x = 459.89

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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.