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Finding the Fourth Proportional to 529.74, 795.10 and 269.92

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Solution

The fourth proportional to 529.74, 795.10 and 269.92 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 795.10 = 269.92 : x
  2. Step 2: Convert to fraction form
    529.74/795.10 = 269.92/x
  3. Step 3: Cross multiply
    529.74x = 795.10 × 269.92
  4. Step 4: Simplify right side
    529.74x = 214,614.70
  5. Step 5: Solve for x
    x = 214,614.70/529.74
  6. Step 6: Final answer
    x = 405.13

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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.