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Finding the Fourth Proportional to 529.29, 794.10 and 298.35

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Solution

The fourth proportional to 529.29, 794.10 and 298.35 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 794.10 = 298.35 : x
  2. Step 2: Convert to fraction form
    529.29/794.10 = 298.35/x
  3. Step 3: Cross multiply
    529.29x = 794.10 × 298.35
  4. Step 4: Simplify right side
    529.29x = 236,919.74
  5. Step 5: Solve for x
    x = 236,919.74/529.29
  6. Step 6: Final answer
    x = 447.62

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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.