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Finding the Fourth Proportional to 565.62, 848.85 and 241.21

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Solution

The fourth proportional to 565.62, 848.85 and 241.21 is: 361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 848.85 = 241.21 : x
  2. Step 2: Convert to fraction form
    565.62/848.85 = 241.21/x
  3. Step 3: Cross multiply
    565.62x = 848.85 × 241.21
  4. Step 4: Simplify right side
    565.62x = 204,751.11
  5. Step 5: Solve for x
    x = 204,751.11/565.62
  6. Step 6: Final answer
    x = 361.99

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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.