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Finding the Fourth Proportional to 565.78, 849.09 and 421.06

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Solution

The fourth proportional to 565.78, 849.09 and 421.06 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 849.09 = 421.06 : x
  2. Step 2: Convert to fraction form
    565.78/849.09 = 421.06/x
  3. Step 3: Cross multiply
    565.78x = 849.09 × 421.06
  4. Step 4: Simplify right side
    565.78x = 357,517.84
  5. Step 5: Solve for x
    x = 357,517.84/565.78
  6. Step 6: Final answer
    x = 631.90

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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.