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Finding the Fourth Proportional to 529.34, 793.67 and 298.22

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Solution

The fourth proportional to 529.34, 793.67 and 298.22 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 793.67 = 298.22 : x
  2. Step 2: Convert to fraction form
    529.34/793.67 = 298.22/x
  3. Step 3: Cross multiply
    529.34x = 793.67 × 298.22
  4. Step 4: Simplify right side
    529.34x = 236,682.81
  5. Step 5: Solve for x
    x = 236,682.81/529.34
  6. Step 6: Final answer
    x = 447.13

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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.