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Finding the Fourth Proportional to 529.23, 792.27 and 364.35

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Solution

The fourth proportional to 529.23, 792.27 and 364.35 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.23 : 792.27 = 364.35 : x
  2. Step 2: Convert to fraction form
    529.23/792.27 = 364.35/x
  3. Step 3: Cross multiply
    529.23x = 792.27 × 364.35
  4. Step 4: Simplify right side
    529.23x = 288,663.57
  5. Step 5: Solve for x
    x = 288,663.57/529.23
  6. Step 6: Final answer
    x = 545.44

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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.