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Finding the Fourth Proportional to 569.70, 853.81 and 309.76

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Solution

The fourth proportional to 569.70, 853.81 and 309.76 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 853.81 = 309.76 : x
  2. Step 2: Convert to fraction form
    569.70/853.81 = 309.76/x
  3. Step 3: Cross multiply
    569.70x = 853.81 × 309.76
  4. Step 4: Simplify right side
    569.70x = 264,473.28
  5. Step 5: Solve for x
    x = 264,473.28/569.70
  6. Step 6: Final answer
    x = 464.23

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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.