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Finding the Fourth Proportional to 569.34, 853.74 and 309.69

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Solution

The fourth proportional to 569.34, 853.74 and 309.69 is: 464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 853.74 = 309.69 : x
  2. Step 2: Convert to fraction form
    569.34/853.74 = 309.69/x
  3. Step 3: Cross multiply
    569.34x = 853.74 × 309.69
  4. Step 4: Simplify right side
    569.34x = 264,394.74
  5. Step 5: Solve for x
    x = 264,394.74/569.34
  6. Step 6: Final answer
    x = 464.39

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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.