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Finding the Fourth Proportional to 529.68, 794.76 and 269.76

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Solution

The fourth proportional to 529.68, 794.76 and 269.76 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 794.76 = 269.76 : x
  2. Step 2: Convert to fraction form
    529.68/794.76 = 269.76/x
  3. Step 3: Cross multiply
    529.68x = 794.76 × 269.76
  4. Step 4: Simplify right side
    529.68x = 214,394.46
  5. Step 5: Solve for x
    x = 214,394.46/529.68
  6. Step 6: Final answer
    x = 404.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.