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Finding the Fourth Proportional to 529.50, 730.76 and 296.67

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Solution

The fourth proportional to 529.50, 730.76 and 296.67 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 730.76 = 296.67 : x
  2. Step 2: Convert to fraction form
    529.50/730.76 = 296.67/x
  3. Step 3: Cross multiply
    529.50x = 730.76 × 296.67
  4. Step 4: Simplify right side
    529.50x = 216,793.09
  5. Step 5: Solve for x
    x = 216,793.09/529.50
  6. Step 6: Final answer
    x = 409.43

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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.