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Finding the Fourth Proportional to 569.50, 853.86 and 309.90

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Solution

The fourth proportional to 569.50, 853.86 and 309.90 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 853.86 = 309.90 : x
  2. Step 2: Convert to fraction form
    569.50/853.86 = 309.90/x
  3. Step 3: Cross multiply
    569.50x = 853.86 × 309.90
  4. Step 4: Simplify right side
    569.50x = 264,611.21
  5. Step 5: Solve for x
    x = 264,611.21/569.50
  6. Step 6: Final answer
    x = 464.64

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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.