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Finding the Fourth Proportional to 574.16, 861.84 and 470.21

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Solution

The fourth proportional to 574.16, 861.84 and 470.21 is: 705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 861.84 = 470.21 : x
  2. Step 2: Convert to fraction form
    574.16/861.84 = 470.21/x
  3. Step 3: Cross multiply
    574.16x = 861.84 × 470.21
  4. Step 4: Simplify right side
    574.16x = 405,241.48
  5. Step 5: Solve for x
    x = 405,241.48/574.16
  6. Step 6: Final answer
    x = 705.81

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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.