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Finding the Fourth Proportional to 529.72, 794.16 and 366.92

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Solution

The fourth proportional to 529.72, 794.16 and 366.92 is: 550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 794.16 = 366.92 : x
  2. Step 2: Convert to fraction form
    529.72/794.16 = 366.92/x
  3. Step 3: Cross multiply
    529.72x = 794.16 × 366.92
  4. Step 4: Simplify right side
    529.72x = 291,393.19
  5. Step 5: Solve for x
    x = 291,393.19/529.72
  6. Step 6: Final answer
    x = 550.09

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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.