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Finding the Fourth Proportional to 529.76, 794.57 and 241.13

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Solution

The fourth proportional to 529.76, 794.57 and 241.13 is: 361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 794.57 = 241.13 : x
  2. Step 2: Convert to fraction form
    529.76/794.57 = 241.13/x
  3. Step 3: Cross multiply
    529.76x = 794.57 × 241.13
  4. Step 4: Simplify right side
    529.76x = 191,589.49
  5. Step 5: Solve for x
    x = 191,589.49/529.76
  6. Step 6: Final answer
    x = 361.66

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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.